105012035520 has 224 divisors, whose sum is σ = 403458444288. Its totient is φ = 22590799872.

The previous prime is 105012035507. The next prime is 105012035521. The reversal of 105012035520 is 25530210501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105012035520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105012035521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345372 + ... + 573851.

Almost surely, 2^105012035520 is an apocalyptic number.

105012035520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105012035520 is an abundant number, since it is smaller than the sum of its proper divisors (298446408768).

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

105012035520 is a wasteful number, since it uses less digits than its factorization.

105012035520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919267 (or 919257 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 105012035520 in words is "one hundred five billion, twelve million, thirty-five thousand, five hundred twenty".