102261376 has 64 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 43084800.

The previous prime is 102261349. The next prime is 102261391. The reversal of 102261376 is 673162201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53721 + ... + 55591.

It is an arithmetic number, because the mean of its divisors is an integer number (3699540).

Almost surely, 2^102261376 is an apocalyptic number.

102261376 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 102261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

102261376 is an abundant number, since it is smaller than the sum of its proper divisors (134509184).

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

102261376 is an equidigital number, since it uses as much as digits as its factorization.

102261376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 102261376 is about 10112.4366994311. The cubic root of 102261376 is about 467.6316286964.

The spelling of 102261376 in words is "one hundred two million, two hundred sixty-one thousand, three hundred seventy-six".