100953261 has 12 divisors (see below), whose sum is σ = 145909920. Its totient is φ = 67261320.

The previous prime is 100953257. The next prime is 100953271. The reversal of 100953261 is 162359001.

It is not a de Polignac number, because 100953261 - 2² = 100953257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100953271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23110 + ... + 27128.

It is an arithmetic number, because the mean of its divisors is an integer number (12159160).

Almost surely, 2^100953261 is an apocalyptic number.

It is an amenable number.

100953261 is a deficient number, since it is larger than the sum of its proper divisors (44956659).

100953261 is a wasteful number, since it uses less digits than its factorization.

100953261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 100953261 is about 10047.5499998756. The cubic root of 100953261 is about 465.6291034036.

The spelling of 100953261 in words is "one hundred million, nine hundred fifty-three thousand, two hundred sixty-one".