102400442976 has 192 divisors, whose sum is σ = 299573600256. Its totient is φ = 30414182400.

The previous prime is 102400442959. The next prime is 102400442983. The reversal of 102400442976 is 679244004201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16284505 + ... + 16290791.

It is an arithmetic number, because the mean of its divisors is an integer number (1560279168).

Almost surely, 2^102400442976 is an apocalyptic number.

102400442976 is a gapful number since it is divisible by the number (16) 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 102400442976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149786800128).

102400442976 is an abundant number, since it is smaller than the sum of its proper divisors (197173157280).

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

102400442976 is a wasteful number, since it uses less digits than its factorization.

102400442976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6765 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 102400442976 in words is "one hundred two billion, four hundred million, four hundred forty-two thousand, nine hundred seventy-six".