106530993792 has 48 divisors (see below), whose sum is σ = 306554034930. Its totient is φ = 35510330880.

The previous prime is 106530993791. The next prime is 106530993823. The reversal of 106530993792 is 297399035601.

It is a happy number.

106530993792 is a `hidden beast` number, since 10 + 6 + 530 + 9 + 9 + 3 + 7 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103565537856 + 2965455936 = 321816^2 + 54456^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106530993792² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106530993791) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46236259 + ... + 46238562.

Almost surely, 2^106530993792 is an apocalyptic number.

106530993792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106530993792 is an abundant number, since it is smaller than the sum of its proper divisors (200023041138).

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

106530993792 is an equidigital number, since it uses as much as digits as its factorization.

106530993792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92474841 (or 92474826 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 106530993792 in words is "one hundred six billion, five hundred thirty million, nine hundred ninety-three thousand, seven hundred ninety-two".