102920961 has 64 divisors (see below), whose sum is σ = 170311680. Its totient is φ = 54432000.

The previous prime is 102920959. The next prime is 102920981. The reversal of 102920961 is 169029201.

It is a happy number.

It is not a de Polignac number, because 102920961 - 2¹ = 102920959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102920921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944175 + ... + 944283.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2^102920961 is an apocalyptic number.

102920961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102920961 is a deficient number, since it is larger than the sum of its proper divisors (67390719).

102920961 is a wasteful number, since it uses less digits than its factorization.

102920961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 102920961 is about 10144.9968457363. The cubic root of 102920961 is about 468.6348814552.

The spelling of 102920961 in words is "one hundred two million, nine hundred twenty thousand, nine hundred sixty-one".