106377147792 has 60 divisors (see below), whose sum is σ = 297731628480. Its totient is φ = 35456266944.

The previous prime is 106377147781. The next prime is 106377147797. The reversal of 106377147792 is 297741773601.

106377147792 is a `hidden beast` number, since 10 + 6 + 3 + 7 + 71 + 477 + 92 = 666.

It is a super-2 number, since 2×106377147792² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106377147797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2704813 + ... + 2743859.

It is an arithmetic number, because the mean of its divisors is an integer number (4962193808).

Almost surely, 2^106377147792 is an apocalyptic number.

106377147792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106377147792 is an abundant number, since it is smaller than the sum of its proper divisors (191354480688).

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

106377147792 is a wasteful number, since it uses less digits than its factorization.

106377147792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57980 (or 57971 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 106377147792 in words is "one hundred six billion, three hundred seventy-seven million, one hundred forty-seven thousand, seven hundred ninety-two".