102989376 has 252 divisors, whose sum is σ = 355724460. Its totient is φ = 28385280.

The previous prime is 102989371. The next prime is 102989387. The reversal of 102989376 is 673989201.

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 91699776 = 3360^2 + 9576^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (102989371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1157140 + ... + 1157228.

It is an arithmetic number, because the mean of its divisors is an integer number (1411605).

Almost surely, 2^102989376 is an apocalyptic number.

102989376 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 102989376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177862230).

102989376 is an abundant number, since it is smaller than the sum of its proper divisors (252735084).

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

102989376 is a wasteful number, since it uses less digits than its factorization.

102989376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 102989376 is about 10148.3681446822. The cubic root of 102989376 is about 468.7386975408.

The spelling of 102989376 in words is "one hundred two million, nine hundred eighty-nine thousand, three hundred seventy-six".