106192377621 has 32 divisors (see below), whose sum is σ = 171773706240. Its totient is φ = 64302894000.

The previous prime is 106192377619. The next prime is 106192377689. The reversal of 106192377621 is 126773291601.

106192377621 is a `hidden beast` number, since 1 + 0 + 6 + 19 + 2 + 3 + 7 + 7 + 621 = 666.

It is not a de Polignac number, because 106192377621 - 2¹ = 106192377619 is a prime.

It is a super-2 number, since 2×106192377621² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106112377621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186526 + ... + 497168.

It is an arithmetic number, because the mean of its divisors is an integer number (5367928320).

Almost surely, 2^106192377621 is an apocalyptic number.

106192377621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106192377621 is a deficient number, since it is larger than the sum of its proper divisors (65581328619).

106192377621 is a wasteful number, since it uses less digits than its factorization.

106192377621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311814 (or 311808 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 106192377621 in words is "one hundred six billion, one hundred ninety-two million, three hundred seventy-seven thousand, six hundred twenty-one".