10102961 has 16 divisors (see below), whose sum is σ = 11476608. Its totient is φ = 8812800.

The previous prime is 10102951. The next prime is 10102969. The reversal of 10102961 is 16920101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41801 + ... + 42041.

It is an arithmetic number, because the mean of its divisors is an integer number (717288).

Almost surely, 2^10102961 is an apocalyptic number.

10102961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102961 is a deficient number, since it is larger than the sum of its proper divisors (1373647).

10102961 is a wasteful number, since it uses less digits than its factorization.

10102961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 10102961 is about 3178.5155340190. The cubic root of 10102961 is about 216.1803549101.

The spelling of 10102961 in words is "ten million, one hundred two thousand, nine hundred sixty-one".