107152231680 has 864 divisors, whose sum is σ = 414357390720. Its totient is φ = 25400770560.

The previous prime is 107152231661. The next prime is 107152231741. The reversal of 107152231680 is 86132251701.

107152231680 is a `hidden beast` number, since 1 + 0 + 71 + 522 + 3 + 1 + 68 + 0 = 666.

It is a super-2 number, since 2×107152231680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 592001190 + ... + 592001370.

Almost surely, 2^107152231680 is an apocalyptic number.

107152231680 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 107152231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207178695360).

107152231680 is an abundant number, since it is smaller than the sum of its proper divisors (307205159040).

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

107152231680 is a wasteful number, since it uses less digits than its factorization.

107152231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 107152231680 in words is "one hundred seven billion, one hundred fifty-two million, two hundred thirty-one thousand, six hundred eighty".