102928401 has 40 divisors (see below), whose sum is σ = 160300800. Its totient is φ = 65746080.

The previous prime is 102928351. The next prime is 102928429. The reversal of 102928401 is 104829201.

It is not a de Polignac number, because 102928401 - 2¹⁵ = 102895633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102928451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 449355 + ... + 449583.

It is an arithmetic number, because the mean of its divisors is an integer number (4007520).

Almost surely, 2^102928401 is an apocalyptic number.

It is an amenable number.

102928401 is a deficient number, since it is larger than the sum of its proper divisors (57372399).

102928401 is a wasteful number, since it uses less digits than its factorization.

102928401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102928401 is about 10145.3635223190. The cubic root of 102928401 is about 468.6461734845.

The spelling of 102928401 in words is "one hundred two million, nine hundred twenty-eight thousand, four hundred one".