106104708011772 has 30 divisors (see below), whose sum is σ = 277378665698288. Its totient is φ = 35368236003816.

The previous prime is 106104708011767. The next prime is 106104708011791. The reversal of 106104708011772 is 277110807401601.

106104708011772 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 470 + 8 + 0 + 1 + 177 + 2 = 666.

It is a super-2 number, since 2×106104708011772² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 163741833028 + ... + 163741833675.

Almost surely, 2^{106104708011772} is an apocalyptic number.

106104708011772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106104708011772 is an abundant number, since it is smaller than the sum of its proper divisors (171273957686516).

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

106104708011772 is a wasteful number, since it uses less digits than its factorization.

106104708011772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327483666719 (or 327483666708 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 106104708011772 in words is "one hundred six trillion, one hundred four billion, seven hundred eight million, eleven thousand, seven hundred seventy-two".