100893971 has 8 divisors (see below), whose sum is σ = 107146320. Its totient is φ = 94735872.

The previous prime is 100893967. The next prime is 100894021. The reversal of 100893971 is 179398001.

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 100893971 - 2² = 100893967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100893941) 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, 21350 + ... + 25643.

It is an arithmetic number, because the mean of its divisors is an integer number (13393290).

Almost surely, 2^100893971 is an apocalyptic number.

100893971 is a deficient number, since it is larger than the sum of its proper divisors (6252349).

100893971 is a wasteful number, since it uses less digits than its factorization.

100893971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47125.

The product of its (nonzero) digits is 13608, while the sum is 38.

The square root of 100893971 is about 10044.5990960317. The cubic root of 100893971 is about 465.5379306649.

The spelling of 100893971 in words is "one hundred million, eight hundred ninety-three thousand, nine hundred seventy-one".