100052727 has 16 divisors (see below), whose sum is σ = 140693760. Its totient is φ = 63070272.

The previous prime is 100052723. The next prime is 100052753. The reversal of 100052727 is 727250001.

It is not a de Polignac number, because 100052727 - 2² = 100052723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100052697 and 100052706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100052723) 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, 35523 + ... + 38235.

It is an arithmetic number, because the mean of its divisors is an integer number (8793360).

Almost surely, 2^100052727 is an apocalyptic number.

100052727 is a deficient number, since it is larger than the sum of its proper divisors (40641033).

100052727 is a wasteful number, since it uses less digits than its factorization.

100052727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382.

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 100052727 is about 10002.6360025745. The cubic root of 100052727 is about 464.2404480456.

The spelling of 100052727 in words is "one hundred million, fifty-two thousand, seven hundred twenty-seven".