101088953 has 16 divisors (see below), whose sum is σ = 123886080. Its totient is φ = 80510976.

The previous prime is 101088947. The next prime is 101088991. The reversal of 101088953 is 359880101.

It is not a de Polignac number, because 101088953 - 2⁸ = 101088697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101088943) 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, 4025 + ... + 14777.

It is an arithmetic number, because the mean of its divisors is an integer number (7742880).

Almost surely, 2^101088953 is an apocalyptic number.

It is an amenable number.

101088953 is a deficient number, since it is larger than the sum of its proper divisors (22797127).

101088953 is a wasteful number, since it uses less digits than its factorization.

101088953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10856.

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 101088953 is about 10054.3002242821. The cubic root of 101088953 is about 465.8376284740.

The spelling of 101088953 in words is "one hundred one million, eighty-eight thousand, nine hundred fifty-three".