107155200 has 108 divisors (see below), whose sum is σ = 353697848. Its totient is φ = 28569600.

The previous prime is 107155171. The next prime is 107155211. The reversal of 107155200 is 2551701.

It is a super-2 number, since 2×107155200² = 22964473774080000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16410 + ... + 21990.

Almost surely, 2^107155200 is an apocalyptic number.

107155200 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 107155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176848924).

107155200 is an abundant number, since it is smaller than the sum of its proper divisors (246542648).

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

107155200 is an equidigital number, since it uses as much as digits as its factorization.

107155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5610 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 107155200 is about 10351.5795896085. The cubic root of 107155200 is about 474.9753634498.

The spelling of 107155200 in words is "one hundred seven million, one hundred fifty-five thousand, two hundred".