102961478400 has 216 divisors, whose sum is σ = 370685482944. Its totient is φ = 24960307200.

The previous prime is 102961478369. The next prime is 102961478413. The reversal of 102961478400 is 4874169201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32554 + ... + 454953.

Almost surely, 2^102961478400 is an apocalyptic number.

102961478400 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 102961478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185342741472).

102961478400 is an abundant number, since it is smaller than the sum of its proper divisors (267724004544).

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

102961478400 is a wasteful number, since it uses less digits than its factorization.

102961478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487547 (or 487528 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 102961478400 in words is "one hundred two billion, nine hundred sixty-one million, four hundred seventy-eight thousand, four hundred".