100181901 has 16 divisors (see below), whose sum is σ = 144885888. Its totient is φ = 61324800.

The previous prime is 100181843. The next prime is 100181933. The reversal of 100181901 is 109181001.

It is not a de Polignac number, because 100181901 - 2⁷ = 100181773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100181971) 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, 21865 + ... + 26046.

It is an arithmetic number, because the mean of its divisors is an integer number (9055368).

Almost surely, 2^100181901 is an apocalyptic number.

It is an amenable number.

100181901 is a deficient number, since it is larger than the sum of its proper divisors (44703987).

100181901 is a wasteful number, since it uses less digits than its factorization.

100181901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47972.

The product of its (nonzero) digits is 72, while the sum is 21.

The square root of 100181901 is about 10009.0909177607. The cubic root of 100181901 is about 464.4401494384.

The spelling of 100181901 in words is "one hundred million, one hundred eighty-one thousand, nine hundred one".