107000100 has 108 divisors (see below), whose sum is σ = 341058900. Its totient is φ = 28051200.

The previous prime is 107000027. The next prime is 107000123. The reversal of 107000100 is 1000701.

It can be written as a sum of positive squares in 6 ways, for example, as 8156736 + 98843364 = 2856^2 + 9942^2 .

It is a super-2 number, since 2×107000100² = 22898042800020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53926 + ... + 55874.

Almost surely, 2^107000100 is an apocalyptic number.

107000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170529450).

107000100 is an abundant number, since it is smaller than the sum of its proper divisors (234058800).

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

107000100 is a wasteful number, since it uses less digits than its factorization.

107000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 107000100 is about 10344.0852664699. The cubic root of 107000100 is about 474.7460877482.

Adding to 107000100 its reverse (1000701), we get a palindrome (108000801).

The spelling of 107000100 in words is "one hundred seven million, one hundred", and thus it is an aban number.