106076455092 has 384 divisors, whose sum is σ = 311159439360. Its totient is φ = 31090176000.

The previous prime is 106076455081. The next prime is 106076455139. The reversal of 106076455092 is 290554670601.

106076455092 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 7 + 6 + 4 + 550 + 92 = 666.

It is a super-2 number, since 2×106076455092² (a number of 23 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 127 ways as a sum of consecutive naturals, for example, 305695663 + ... + 305696009.

It is an arithmetic number, because the mean of its divisors is an integer number (810311040).

Almost surely, 2^106076455092 is an apocalyptic number.

106076455092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106076455092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155579719680).

106076455092 is an abundant number, since it is smaller than the sum of its proper divisors (205082984268).

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

106076455092 is a wasteful number, since it uses less digits than its factorization.

106076455092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 106076455092 in words is "one hundred six billion, seventy-six million, four hundred fifty-five thousand, ninety-two".