102275034624 has 240 divisors, whose sum is σ = 339782002560. Its totient is φ = 29009940480.

The previous prime is 102275034623. The next prime is 102275034647. The reversal of 102275034624 is 426430572201.

102275034624 is a `hidden beast` number, since 1 + 0 + 2 + 27 + 5 + 0 + 3 + 4 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102275034623) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4472179 + ... + 4494989.

It is an arithmetic number, because the mean of its divisors is an integer number (1415758344).

Almost surely, 2^102275034624 is an apocalyptic number.

102275034624 is a gapful number since it is divisible by the number (14) 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 102275034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169891001280).

102275034624 is an abundant number, since it is smaller than the sum of its proper divisors (237506967936).

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

102275034624 is a wasteful number, since it uses less digits than its factorization.

102275034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22981 (or 22962 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 102275034624 in words is "one hundred two billion, two hundred seventy-five million, thirty-four thousand, six hundred twenty-four".