105519277920 has 192 divisors, whose sum is σ = 380073447936. Its totient is φ = 24105738240.

The previous prime is 105519277909. The next prime is 105519277931. The reversal of 105519277920 is 29772915501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105519277909) and next prime (105519277931).

It is a super-2 number, since 2×105519277920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 105519277920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7152792 + ... + 7167528.

It is an arithmetic number, because the mean of its divisors is an integer number (1979549208).

Almost surely, 2^105519277920 is an apocalyptic number.

105519277920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105519277920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190036723968).

105519277920 is an abundant number, since it is smaller than the sum of its proper divisors (274554170016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105519277920 is a wasteful number, since it uses less digits than its factorization.

105519277920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16893 (or 16885 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 48.

The spelling of 105519277920 in words is "one hundred five billion, five hundred nineteen million, two hundred seventy-seven thousand, nine hundred twenty".