102464974080 has 1080 divisors, whose sum is σ = 433412556192. Its totient is φ = 23138390016.

The previous prime is 102464973991. The next prime is 102464974091. The reversal of 102464974080 is 80479464201.

102464974080 is a `hidden beast` number, since 1 + 0 + 2 + 46 + 497 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1234517719 + ... + 1234517801.

Almost surely, 2^102464974080 is an apocalyptic number.

102464974080 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 102464974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216706278096).

102464974080 is an abundant number, since it is smaller than the sum of its proper divisors (330947582112).

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

102464974080 is an frugal number, since it uses more digits than its factorization.

102464974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 102464974080 in words is "one hundred two billion, four hundred sixty-four million, nine hundred seventy-four thousand, eighty".