106392729528 has 80 divisors (see below), whose sum is σ = 299235100560. Its totient is φ = 35317036800.

The previous prime is 106392729431. The next prime is 106392729533. The reversal of 106392729528 is 825927293601.

106392729528 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 92 + 7 + 29 + 528 = 666.

It is a super-2 number, since 2×106392729528² (a number of 23 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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 184468 + ... + 496803.

It is an arithmetic number, because the mean of its divisors is an integer number (3740438757).

Almost surely, 2^106392729528 is an apocalyptic number.

106392729528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106392729528 is an abundant number, since it is smaller than the sum of its proper divisors (192842371032).

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

106392729528 is a wasteful number, since it uses less digits than its factorization.

106392729528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681530 (or 681517 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 106392729528 in words is "one hundred six billion, three hundred ninety-two million, seven hundred twenty-nine thousand, five hundred twenty-eight".