100727401 has 16 divisors (see below), whose sum is σ = 107163648. Its totient is φ = 94536000.

The previous prime is 100727387. The next prime is 100727423. The reversal of 100727401 is 104727001.

It is not a de Polignac number, because 100727401 - 2⁵ = 100727369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100797401) 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, 165640 + ... + 166246.

It is an arithmetic number, because the mean of its divisors is an integer number (6697728).

Almost surely, 2^100727401 is an apocalyptic number.

It is an amenable number.

100727401 is a deficient number, since it is larger than the sum of its proper divisors (6436247).

100727401 is a wasteful number, since it uses less digits than its factorization.

100727401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 100727401 is about 10036.3041504331. The cubic root of 100727401 is about 465.2815976537.

The spelling of 100727401 in words is "one hundred million, seven hundred twenty-seven thousand, four hundred one".