106500049992 has 120 divisors (see below), whose sum is σ = 347000691510. Its totient is φ = 30428576640.

The previous prime is 106500049969. The next prime is 106500050009. The reversal of 106500049992 is 299940005601.

106500049992 is a `hidden beast` number, since 10 + 6 + 500 + 0 + 49 + 9 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93669050916 + 12830999076 = 306054^2 + 113274^2 .

It is a super-2 number, since 2×106500049992² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1645309 + ... + 1708812.

Almost surely, 2^106500049992 is an apocalyptic number.

106500049992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106500049992 is an abundant number, since it is smaller than the sum of its proper divisors (240500641518).

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

106500049992 is a wasteful number, since it uses less digits than its factorization.

106500049992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354153 (or 3354133 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 106500049992 in words is "one hundred six billion, five hundred million, forty-nine thousand, nine hundred ninety-two".