102990074880 has 1056 divisors, whose sum is σ = 432087441408. Its totient is φ = 20319436800.

The previous prime is 102990074879. The next prime is 102990074939. The reversal of 102990074880 is 88470099201.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 4.

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, 1943208934 + ... + 1943208986.

Almost surely, 2^102990074880 is an apocalyptic number.

102990074880 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 102990074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216043720704).

102990074880 is an abundant number, since it is smaller than the sum of its proper divisors (329097366528).

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

102990074880 is a wasteful number, since it uses less digits than its factorization.

102990074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 102990074880 in words is "one hundred two billion, nine hundred ninety million, seventy-four thousand, eight hundred eighty".