100527012 has 36 divisors (see below), whose sum is σ = 254736300. Its totient is φ = 33426432.

The previous prime is 100526989. The next prime is 100527019. The reversal of 100527012 is 210725001.

It can be written as a sum of positive squares in 2 ways, for example, as 58614336 + 41912676 = 7656^2 + 6474^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100527019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12364 + ... + 18812.

Almost surely, 2^100527012 is an apocalyptic number.

100527012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100527012 is an abundant number, since it is smaller than the sum of its proper divisors (154209288).

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

100527012 is a wasteful number, since it uses less digits than its factorization.

100527012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 100527012 is about 10026.3159734770. The cubic root of 100527012 is about 464.9728461424.

The spelling of 100527012 in words is "one hundred million, five hundred twenty-seven thousand, twelve".