102542461920 has 576 divisors, whose sum is σ = 385345658880. Its totient is φ = 25677969408.

The previous prime is 102542461919. The next prime is 102542461933. The reversal of 102542461920 is 29164245201.

It is a happy number.

102542461920 is a `hidden beast` number, since 10 + 2 + 5 + 4 + 2 + 4 + 619 + 20 = 666.

It is a super-2 number, since 2×102542461920² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 93816894 + ... + 93817986.

It is an arithmetic number, because the mean of its divisors is an integer number (669002880).

Almost surely, 2^102542461920 is an apocalyptic number.

102542461920 is a gapful number since it is divisible by the number (10) 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 102542461920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192672829440).

102542461920 is an abundant number, since it is smaller than the sum of its proper divisors (282803196960).

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

102542461920 is a wasteful number, since it uses less digits than its factorization.

102542461920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 102542461920 in words is "one hundred two billion, five hundred forty-two million, four hundred sixty-one thousand, nine hundred twenty".