102456855936 has 128 divisors (see below), whose sum is σ = 306124072800. Its totient is φ = 34152192000.

The previous prime is 102456855833. The next prime is 102456855947. The reversal of 102456855936 is 639558654201.

102456855936 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 56 + 8 + 559 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96936 + ... + 462936.

Almost surely, 2^102456855936 is an apocalyptic number.

102456855936 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 102456855936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153062036400).

102456855936 is an abundant number, since it is smaller than the sum of its proper divisors (203667216864).

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

102456855936 is an frugal number, since it uses more digits than its factorization.

102456855936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366036 (or 366006 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 102456855936 in words is "one hundred two billion, four hundred fifty-six million, eight hundred fifty-five thousand, nine hundred thirty-six".