106557129720 has 320 divisors, whose sum is σ = 366079633920. Its totient is φ = 27793103616.

The previous prime is 106557129719. The next prime is 106557129739. The reversal of 106557129720 is 27921755601.

106557129720 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 571 + 2 + 9 + 72 + 0 = 666.

It is a super-2 number, since 2×106557129720² (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 79 ways as a sum of consecutive naturals, for example, 27696837 + ... + 27700683.

It is an arithmetic number, because the mean of its divisors is an integer number (1143998856).

Almost surely, 2^106557129720 is an apocalyptic number.

106557129720 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 106557129720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183039816960).

106557129720 is an abundant number, since it is smaller than the sum of its proper divisors (259522504200).

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

106557129720 is a wasteful number, since it uses less digits than its factorization.

106557129720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 106557129720 in words is "one hundred six billion, five hundred fifty-seven million, one hundred twenty-nine thousand, seven hundred twenty".