107074100 has 72 divisors (see below), whose sum is σ = 267566208. Its totient is φ = 36432000.

The previous prime is 107074087. The next prime is 107074103. The reversal of 107074100 is 1470701.

It is a super-2 number, since 2×107074100² = 22929725781620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107074103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105194 + ... + 106206.

Almost surely, 2^107074100 is an apocalyptic number.

107074100 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 107074100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133783104).

107074100 is an abundant number, since it is smaller than the sum of its proper divisors (160492108).

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

107074100 is a wasteful number, since it uses less digits than its factorization.

107074100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 107074100 is about 10347.6615715822. The cubic root of 107074100 is about 474.8555054492.

The spelling of 107074100 in words is "one hundred seven million, seventy-four thousand, one hundred".