102949241856 has 88 divisors (see below), whose sum is σ = 274687814304. Its totient is φ = 34280079360.

The previous prime is 102949241827. The next prime is 102949241881. The reversal of 102949241856 is 658142949201.

It is a happy number.

It is a super-3 number, since 3×102949241856³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102949241799 and 102949241808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2965656 + ... + 3000168.

Almost surely, 2^102949241856 is an apocalyptic number.

102949241856 is a gapful number since it is divisible by the number (16) 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 102949241856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137343907152).

102949241856 is an abundant number, since it is smaller than the sum of its proper divisors (171738572448).

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

102949241856 is an equidigital number, since it uses as much as digits as its factorization.

102949241856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35507 (or 35489 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 102949241856 in words is "one hundred two billion, nine hundred forty-nine million, two hundred forty-one thousand, eight hundred fifty-six".