100053857 has 8 divisors (see below), whose sum is σ = 109593000. Its totient is φ = 90920704.

The previous prime is 100053853. The next prime is 100053859. The reversal of 100053857 is 758350001.

It can be written as a sum of positive squares in 4 ways, for example, as 11015761 + 89038096 = 3319^2 + 9436^2 .

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 100053857 - 2² = 100053853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100053853) 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, 100982 + ... + 101967.

It is an arithmetic number, because the mean of its divisors is an integer number (13699125).

Almost surely, 2^100053857 is an apocalyptic number.

100053857 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100053857 is a deficient number, since it is larger than the sum of its proper divisors (9539143).

100053857 is a wasteful number, since it uses less digits than its factorization.

100053857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202995.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 100053857 is about 10002.6924875255. The cubic root of 100053857 is about 464.2421957565.

The spelling of 100053857 in words is "one hundred million, fifty-three thousand, eight hundred fifty-seven".