106831935360 has 768 divisors, whose sum is σ = 412009416000. Its totient is φ = 25391923200.

The previous prime is 106831935323. The next prime is 106831935403. The reversal of 106831935360 is 63539138601.

106831935360 is a `hidden beast` number, since 106 + 8 + 3 + 1 + 9 + 3 + 536 + 0 = 666.

It is a super-2 number, since 2×106831935360² (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 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, 130123750 + ... + 130124570.

Almost surely, 2^106831935360 is an apocalyptic number.

106831935360 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 106831935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206004708000).

106831935360 is an abundant number, since it is smaller than the sum of its proper divisors (305177480640).

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

106831935360 is a wasteful number, since it uses less digits than its factorization.

106831935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 106831935360 in words is "one hundred six billion, eight hundred thirty-one million, nine hundred thirty-five thousand, three hundred sixty".