102890899104 has 192 divisors, whose sum is σ = 312483225600. Its totient is φ = 29036021760.

The previous prime is 102890899081. The next prime is 102890899109. The reversal of 102890899104 is 401998098201.

102890899104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102890899109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29830372 + ... + 29833820.

It is an arithmetic number, because the mean of its divisors is an integer number (1627516800).

Almost surely, 2^102890899104 is an apocalyptic number.

102890899104 is a gapful number since it is divisible by the number (14) 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 102890899104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156241612800).

102890899104 is an abundant number, since it is smaller than the sum of its proper divisors (209592326496).

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

102890899104 is a wasteful number, since it uses less digits than its factorization.

102890899104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The spelling of 102890899104 in words is "one hundred two billion, eight hundred ninety million, eight hundred ninety-nine thousand, one hundred four".