106837929792 has 672 divisors, whose sum is σ = 361467245568. Its totient is φ = 29859840000.

The previous prime is 106837929791. The next prime is 106837929827. The reversal of 106837929792 is 297929738601.

It is a super-2 number, since 2×106837929792² (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 (106837929791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 443310792 + ... + 443311032.

Almost surely, 2^106837929792 is an apocalyptic number.

106837929792 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 106837929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180733622784).

106837929792 is an abundant number, since it is smaller than the sum of its proper divisors (254629315776).

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

106837929792 is a wasteful number, since it uses less digits than its factorization.

106837929792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 106837929792 in words is "one hundred six billion, eight hundred thirty-seven million, nine hundred twenty-nine thousand, seven hundred ninety-two".