106122098376 has 256 divisors, whose sum is σ = 349594828800. Its totient is φ = 29187993600.

The previous prime is 106122098363. The next prime is 106122098399. The reversal of 106122098376 is 673890221601.

106122098376 is a `hidden beast` number, since 1 + 0 + 612 + 20 + 9 + 8 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×106122098376² (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 63 ways as a sum of consecutive naturals, for example, 9040431 + ... + 9052161.

It is an arithmetic number, because the mean of its divisors is an integer number (1365604800).

Almost surely, 2^106122098376 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 106122098376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174797414400).

106122098376 is an abundant number, since it is smaller than the sum of its proper divisors (243472730424).

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

106122098376 is a wasteful number, since it uses less digits than its factorization.

106122098376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11977 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 106122098376 in words is "one hundred six billion, one hundred twenty-two million, ninety-eight thousand, three hundred seventy-six".