102106672896 has 144 divisors (see below), whose sum is σ = 285907835808. Its totient is φ = 32307609600.

The previous prime is 102106672883. The next prime is 102106672919. The reversal of 102106672896 is 698276601201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121236 + ... + 1208876.

It is an arithmetic number, because the mean of its divisors is an integer number (1985471082).

Almost surely, 2^102106672896 is an apocalyptic number.

102106672896 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 102106672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142953917904).

102106672896 is an abundant number, since it is smaller than the sum of its proper divisors (183801162912).

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

102106672896 is an equidigital number, since it uses as much as digits as its factorization.

102106672896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87738 (or 87724 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 102106672896 in words is "one hundred two billion, one hundred six million, six hundred seventy-two thousand, eight hundred ninety-six".