100277072 has 40 divisors (see below), whose sum is σ = 222604800. Its totient is φ = 42867072.

The previous prime is 100277071. The next prime is 100277081. The reversal of 100277072 is 270772001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100277071) 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, 56129 + ... + 57887.

It is an arithmetic number, because the mean of its divisors is an integer number (5565120).

Almost surely, 2^100277072 is an apocalyptic number.

It is an amenable number.

100277072 is an abundant number, since it is smaller than the sum of its proper divisors (122327728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100277072 is a wasteful number, since it uses less digits than its factorization.

100277072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 100277072 is about 10013.8440171594. The cubic root of 100277072 is about 464.5871728149.

The spelling of 100277072 in words is "one hundred million, two hundred seventy-seven thousand, seventy-two".