100772127 has 32 divisors (see below), whose sum is σ = 154584000. Its totient is φ = 64831104.

The previous prime is 100772101. The next prime is 100772149. The reversal of 100772127 is 721277001.

It is not a de Polignac number, because 100772127 - 2⁷ = 100771999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100772127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100772627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148513 + ... + 149189.

It is an arithmetic number, because the mean of its divisors is an integer number (4830750).

Almost surely, 2^100772127 is an apocalyptic number.

100772127 is a deficient number, since it is larger than the sum of its proper divisors (53811873).

100772127 is a wasteful number, since it uses less digits than its factorization.

100772127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 100772127 is about 10038.5321138103. The cubic root of 100772127 is about 465.3504538113.

The spelling of 100772127 in words is "one hundred million, seven hundred seventy-two thousand, one hundred twenty-seven".