100687957 has 8 divisors (see below), whose sum is σ = 106733592. Its totient is φ = 94656000.

The previous prime is 100687933. The next prime is 100687981. The reversal of 100687957 is 759786001.

It is an interprime number because it is at equal distance from previous prime (100687933) and next prime (100687981).

It can be written as a sum of positive squares in 4 ways, for example, as 62631396 + 38056561 = 7914^2 + 6169^2 .

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

It is not a de Polignac number, because 100687957 - 2¹⁵ = 100655189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100687927) 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, 14457 + ... + 20257.

It is an arithmetic number, because the mean of its divisors is an integer number (13341699).

Almost surely, 2^100687957 is an apocalyptic number.

100687957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100687957 is a deficient number, since it is larger than the sum of its proper divisors (6045635).

100687957 is a wasteful number, since it uses less digits than its factorization.

100687957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839.

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 100687957 is about 10034.3388920247. The cubic root of 100687957 is about 465.2208562757.

The spelling of 100687957 in words is "one hundred million, six hundred eighty-seven thousand, nine hundred fifty-seven".