107348100 has 144 divisors (see below), whose sum is σ = 336436800. Its totient is φ = 26334720.

The previous prime is 107348099. The next prime is 107348113. The reversal of 107348100 is 1843701.

It is a super-2 number, since 2×107348100² = 23047229147220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210646 + ... + 211154.

Almost surely, 2^107348100 is an apocalyptic number.

107348100 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 107348100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168218400).

107348100 is an abundant number, since it is smaller than the sum of its proper divisors (229088700).

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

107348100 is a wasteful number, since it uses less digits than its factorization.

107348100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 107348100 is about 10360.8928186716. The cubic root of 107348100 is about 475.2602083072.

The spelling of 107348100 in words is "one hundred seven million, three hundred forty-eight thousand, one hundred".