106316001792 has 1200 divisors, whose sum is σ = 430574709312. Its totient is φ = 25360957440.

The previous prime is 106316001787. The next prime is 106316001877. The reversal of 106316001792 is 297100613601.

106316001792 is a `hidden beast` number, since 1 + 0 + 6 + 31 + 600 + 17 + 9 + 2 = 666.

It is a super-2 number, since 2×106316001792² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 539675038 + ... + 539675234.

Almost surely, 2^106316001792 is an apocalyptic number.

106316001792 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 106316001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215287354656).

106316001792 is an abundant number, since it is smaller than the sum of its proper divisors (324258707520).

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

106316001792 is a wasteful number, since it uses less digits than its factorization.

106316001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 106316001792 in words is "one hundred six billion, three hundred sixteen million, one thousand, seven hundred ninety-two".