91457101 has 8 divisors (see below), whose sum is σ = 94974264. Its totient is φ = 88001280.

The previous prime is 91457071. The next prime is 91457123. The reversal of 91457101 is 10175419.

It can be written as a sum of positive squares in 4 ways, for example, as 1188100 + 90269001 = 1090^2 + 9501^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 91457101 - 2²³ = 83068493 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91457101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91497101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12286 + ... + 18271.

It is an arithmetic number, because the mean of its divisors is an integer number (11871783).

Almost surely, 2^91457101 is an apocalyptic number.

It is an amenable number.

91457101 is a deficient number, since it is larger than the sum of its proper divisors (3517163).

91457101 is a wasteful number, since it uses less digits than its factorization.

91457101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30671.

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 91457101 is about 9563.3206053128. The cubic root of 91457101 is about 450.5460055513.

The spelling of 91457101 in words is "ninety-one million, four hundred fifty-seven thousand, one hundred one".