106492970880 has 192 divisors, whose sum is σ = 368319996720. Its totient is φ = 28352839680.

The previous prime is 106492970879. The next prime is 106492970891. The reversal of 106492970880 is 88079294601.

106492970880 is a `hidden beast` number, since 1 + 0 + 6 + 492 + 9 + 70 + 8 + 80 = 666.

106492970880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106492970880² (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 23 ways as a sum of consecutive naturals, for example, 3677739 + ... + 3706581.

Almost surely, 2^106492970880 is an apocalyptic number.

106492970880 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 106492970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184159998360).

106492970880 is an abundant number, since it is smaller than the sum of its proper divisors (261827025840).

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

106492970880 is a wasteful number, since it uses less digits than its factorization.

106492970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29509 (or 29494 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 106492970880 in words is "one hundred six billion, four hundred ninety-two million, nine hundred seventy thousand, eight hundred eighty".