106451914922496 has 640 divisors, whose sum is σ = 372073873248000. Its totient is φ = 29625499975680.

The previous prime is 106451914922467. The next prime is 106451914922513. The reversal of 106451914922496 is 694229419154601.

106451914922496 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 51 + 9 + 1 + 4 + 92 + 2 + 496 = 666.

It is a super-2 number, since 2×106451914922496² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389299230 + ... + 389572578.

It is an arithmetic number, because the mean of its divisors is an integer number (581365426950).

Almost surely, 2^{106451914922496} is an apocalyptic number.

106451914922496 is a gapful number since it is divisible by the number (16) 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 106451914922496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186036936624000).

106451914922496 is an abundant number, since it is smaller than the sum of its proper divisors (265621958325504).

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

106451914922496 is a wasteful number, since it uses less digits than its factorization.

106451914922496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273597 (or 273575 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 106451914922496 in words is "one hundred six trillion, four hundred fifty-one billion, nine hundred fourteen million, nine hundred twenty-two thousand, four hundred ninety-six".