107149770 has 256 divisors, whose sum is σ = 362880000. Its totient is φ = 22353408.

The previous prime is 107149741. The next prime is 107149781. The reversal of 107149770 is 77941701.

It is a super-2 number, since 2×107149770² = 22962146422105800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1203886 + ... + 1203974.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 2^107149770 is an apocalyptic number.

107149770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107149770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

107149770 is an abundant number, since it is smaller than the sum of its proper divisors (255730230).

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

107149770 is a wasteful number, since it uses less digits than its factorization.

107149770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 107149770 is about 10351.3173074735. The cubic root of 107149770 is about 474.9673403214.

The spelling of 107149770 in words is "one hundred seven million, one hundred forty-nine thousand, seven hundred seventy".