107001960 has 128 divisors (see below), whose sum is σ = 349332480. Its totient is φ = 26062848.

The previous prime is 107001959. The next prime is 107001971. The reversal of 107001960 is 69100701.

It is a super-2 number, since 2×107001960² = 22898838887683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 107001960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175977 + ... + 176583.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2^107001960 is an apocalyptic number.

107001960 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 107001960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

107001960 is an abundant number, since it is smaller than the sum of its proper divisors (242330520).

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

107001960 is a wasteful number, since it uses less digits than its factorization.

107001960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 107001960 is about 10344.1751725307. The cubic root of 107001960 is about 474.7488385949.

The spelling of 107001960 in words is "one hundred seven million, one thousand, nine hundred sixty".