107078019840 has 432 divisors, whose sum is σ = 421742280960. Its totient is φ = 24829009920.

The previous prime is 107078019791. The next prime is 107078019857. The reversal of 107078019840 is 48910870701.

107078019840 = T₂₆₇₀₄ + T₂₆₇₀₅ + ... + T₂₇₀₀₀.

It is a super-2 number, since 2×107078019840² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 2896191 + ... + 2932929.

It is an arithmetic number, because the mean of its divisors is an integer number (976255280).

Almost surely, 2^107078019840 is an apocalyptic number.

107078019840 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 107078019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210871140480).

107078019840 is an abundant number, since it is smaller than the sum of its proper divisors (314664261120).

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

107078019840 is a wasteful number, since it uses less digits than its factorization.

107078019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36800 (or 36783 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 107078019840 in words is "one hundred seven billion, seventy-eight million, nineteen thousand, eight hundred forty".