91920101 has 16 divisors (see below), whose sum is σ = 113844864. Its totient is φ = 72270144.

The previous prime is 91920083. The next prime is 91920113. The reversal of 91920101 is 10102919.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-91920101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91920161) 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, 11735 + ... + 17931.

It is an arithmetic number, because the mean of its divisors is an integer number (7115304).

Almost surely, 2^91920101 is an apocalyptic number.

91920101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

91920101 is a deficient number, since it is larger than the sum of its proper divisors (21924763).

91920101 is a wasteful number, since it uses less digits than its factorization.

91920101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380.

The product of its (nonzero) digits is 162, while the sum is 23.

The square root of 91920101 is about 9587.4971186436. The cubic root of 91920101 is about 451.3050199562.

The spelling of 91920101 in words is "ninety-one million, nine hundred twenty thousand, one hundred one".