107319215952 has 840 divisors, whose sum is σ = 372810583040. Its totient is φ = 29695610880.

The previous prime is 107319215933. The next prime is 107319216001. The reversal of 107319215952 is 259512913701.

107319215952 is a `hidden beast` number, since 1 + 0 + 7 + 31 + 9 + 21 + 595 + 2 = 666.

It is a super-2 number, since 2×107319215952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107319215898 and 107319215907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1358471049 + ... + 1358471127.

Almost surely, 2^107319215952 is an apocalyptic number.

107319215952 is a gapful number since it is divisible by the number (12) 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 107319215952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186405291520).

107319215952 is an abundant number, since it is smaller than the sum of its proper divisors (265491367088).

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

107319215952 is a wasteful number, since it uses less digits than its factorization.

107319215952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 107319215952 in words is "one hundred seven billion, three hundred nineteen million, two hundred fifteen thousand, nine hundred fifty-two".