102355657404 has 288 divisors, whose sum is σ = 325478791680. Its totient is φ = 24359892480.

The previous prime is 102355657381. The next prime is 102355657423. The reversal of 102355657404 is 404756553201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18363562 + ... + 18369134.

Almost surely, 2^102355657404 is an apocalyptic number.

102355657404 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 102355657404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739395840).

102355657404 is an abundant number, since it is smaller than the sum of its proper divisors (223123134276).

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

102355657404 is a wasteful number, since it uses less digits than its factorization.

102355657404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 102355657404 in words is "one hundred two billion, three hundred fifty-five million, six hundred fifty-seven thousand, four hundred four".