107049962880 has 1920 divisors, whose sum is σ = 490813693920. Its totient is φ = 22072393728.

The previous prime is 107049962809. The next prime is 107049962891. The reversal of 107049962880 is 88269940701.

107049962880 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 4 + 9 + 9 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×107049962880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1597760607 + ... + 1597760673.

Almost surely, 2^107049962880 is an apocalyptic number.

107049962880 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 107049962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245406846960).

107049962880 is an abundant number, since it is smaller than the sum of its proper divisors (383763731040).

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

107049962880 is a wasteful number, since it uses less digits than its factorization.

107049962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 107049962880 in words is "one hundred seven billion, forty-nine million, nine hundred sixty-two thousand, eight hundred eighty".