102442536504 has 192 divisors, whose sum is σ = 349798176000. Its totient is φ = 26309352960.

The previous prime is 102442536451. The next prime is 102442536527. The reversal of 102442536504 is 405635244201.

102442536504 is a `hidden beast` number, since 10 + 24 + 42 + 536 + 50 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389607 + ... + 597225.

It is an arithmetic number, because the mean of its divisors is an integer number (1821865500).

Almost surely, 2^102442536504 is an apocalyptic number.

102442536504 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 102442536504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174899088000).

102442536504 is an abundant number, since it is smaller than the sum of its proper divisors (247355639496).

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

102442536504 is a wasteful number, since it uses less digits than its factorization.

102442536504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207738 (or 207731 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 102442536504 in words is "one hundred two billion, four hundred forty-two million, five hundred thirty-six thousand, five hundred four".