106900992000 has 1664 divisors, whose sum is σ = 466139980800. Its totient is φ = 23887872000.

The previous prime is 106900991993. The next prime is 106900992001. The reversal of 106900992000 is 299009601.

It is a super-2 number, since 2×106900992000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106900992001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2889215982 + ... + 2889216018.

It is an arithmetic number, because the mean of its divisors is an integer number (280132200).

Almost surely, 2^106900992000 is an apocalyptic number.

106900992000 is a gapful number since it is divisible by the number (10) 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 106900992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233069990400).

106900992000 is an abundant number, since it is smaller than the sum of its proper divisors (359238988800).

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

106900992000 is a wasteful number, since it uses less digits than its factorization.

106900992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 106900992000 in words is "one hundred six billion, nine hundred million, nine hundred ninety-two thousand".