101253087 has 24 divisors (see below), whose sum is σ = 160864704. Its totient is φ = 60980544.

The previous prime is 101253083. The next prime is 101253101. The reversal of 101253087 is 780352101.

It is not a de Polignac number, because 101253087 - 2² = 101253083 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101253087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101253083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3708 + ... + 14705.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^101253087 is an apocalyptic number.

101253087 is a deficient number, since it is larger than the sum of its proper divisors (59611617).

101253087 is a wasteful number, since it uses less digits than its factorization.

101253087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18479 (or 18476 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 101253087 is about 10062.4592918431. The cubic root of 101253087 is about 466.0896126483.

It can be divided in two parts, 10125 and 3087, that multiplied together give a cube (31255875 = 315³).

The spelling of 101253087 in words is "one hundred one million, two hundred fifty-three thousand, eighty-seven".