107142963840 has 1920 divisors, whose sum is σ = 472747968000. Its totient is φ = 22992076800.

The previous prime is 107142963817. The next prime is 107142963883. The reversal of 107142963840 is 48369241701.

107142963840 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 4 + 2 + 9 + 638 + 4 + 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 2×107142963840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3456224625 + ... + 3456224655.

It is an arithmetic number, because the mean of its divisors is an integer number (246222900).

Almost surely, 2^107142963840 is an apocalyptic number.

107142963840 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 107142963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236373984000).

107142963840 is an abundant number, since it is smaller than the sum of its proper divisors (365605004160).

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

107142963840 is a wasteful number, since it uses less digits than its factorization.

107142963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 107142963840 in words is "one hundred seven billion, one hundred forty-two million, nine hundred sixty-three thousand, eight hundred forty".