102657401 has 24 divisors (see below), whose sum is σ = 130928544. Its totient is φ = 79591680.

The previous prime is 102657391. The next prime is 102657413. The reversal of 102657401 is 104756201.

It is not a de Polignac number, because 102657401 - 2¹⁸ = 102395257 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102657421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152201 + ... + 152873.

It is an arithmetic number, because the mean of its divisors is an integer number (5455356).

Almost surely, 2^102657401 is an apocalyptic number.

102657401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102657401 is a deficient number, since it is larger than the sum of its proper divisors (28271143).

102657401 is a wasteful number, since it uses less digits than its factorization.

102657401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 102657401 is about 10131.9988649822. The cubic root of 102657401 is about 468.2345127663.

The spelling of 102657401 in words is "one hundred two million, six hundred fifty-seven thousand, four hundred one".