106921677408 has 192 divisors, whose sum is σ = 356583370752. Its totient is φ = 27289405440.

The previous prime is 106921677403. The next prime is 106921677461. The reversal of 106921677408 is 804776129601.

It is a super-2 number, since 2×106921677408² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106921677403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73410 + ... + 468222.

It is an arithmetic number, because the mean of its divisors is an integer number (1857205056).

Almost surely, 2^106921677408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106921677408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178291685376).

106921677408 is an abundant number, since it is smaller than the sum of its proper divisors (249661693344).

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

106921677408 is a wasteful number, since it uses less digits than its factorization.

106921677408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394877 (or 394869 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 106921677408 in words is "one hundred six billion, nine hundred twenty-one million, six hundred seventy-seven thousand, four hundred eight".