106724813760 has 112 divisors (see below), whose sum is σ = 376501456800. Its totient is φ = 28459948032.

The previous prime is 106724813749. The next prime is 106724813851. The reversal of 106724813760 is 67318427601.

106724813760 is a `hidden beast` number, since 10 + 6 + 72 + 481 + 37 + 60 = 666.

It is a super-2 number, since 2×106724813760² (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 15 ways as a sum of consecutive naturals, for example, 6167565 + ... + 6184844.

It is an arithmetic number, because the mean of its divisors is an integer number (3361620150).

Almost surely, 2^106724813760 is an apocalyptic number.

106724813760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106724813760 is an abundant number, since it is smaller than the sum of its proper divisors (269776643040).

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

106724813760 is a wasteful number, since it uses less digits than its factorization.

106724813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12352435 (or 12352419 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 106724813760 in words is "one hundred six billion, seven hundred twenty-four million, eight hundred thirteen thousand, seven hundred sixty".