106912456840 has 128 divisors (see below), whose sum is σ = 279624960000. Its totient is φ = 36032882688.

The previous prime is 106912456823. The next prime is 106912456841. The reversal of 106912456840 is 48654219601.

It is a happy number.

It is a super-2 number, since 2×106912456840² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106912456841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4298761 + ... + 4323559.

It is an arithmetic number, because the mean of its divisors is an integer number (2184570000).

Almost surely, 2^106912456840 is an apocalyptic number.

106912456840 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 106912456840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139812480000).

106912456840 is an abundant number, since it is smaller than the sum of its proper divisors (172712503160).

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

106912456840 is a wasteful number, since it uses less digits than its factorization.

106912456840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25079 (or 25075 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

It can be divided in two parts, 10691 and 2456840, that added together give a triangular number (2467531 = T₂₂₂₁).

The spelling of 106912456840 in words is "one hundred six billion, nine hundred twelve million, four hundred fifty-six thousand, eight hundred forty".