106193692725120 has 7680 divisors, whose sum is σ = 568644893308800. Its totient is φ = 18478383759360.

The previous prime is 106193692725083. The next prime is 106193692725121. The reversal of 106193692725120 is 21527296391601.

106193692725120 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 9 + 36 + 92 + 7 + 2 + 512 + 0 = 666.

It is a super-2 number, since 2×106193692725120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106193692725121) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 179078739544 + ... + 179078740136.

Almost surely, 2^{106193692725120} is an apocalyptic number.

106193692725120 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 106193692725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284322446654400).

106193692725120 is an abundant number, since it is smaller than the sum of its proper divisors (462451200583680).

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

106193692725120 is a wasteful number, since it uses less digits than its factorization.

106193692725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 106193692725120 in words is "one hundred six trillion, one hundred ninety-three billion, six hundred ninety-two million, seven hundred twenty-five thousand, one hundred twenty".