106332753494016 has 1040 divisors, whose sum is σ = 380413837672704. Its totient is φ = 29059882942464.

The previous prime is 106332753493991. The next prime is 106332753494027. The reversal of 106332753494016 is 610494357233601.

106332753494016 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 3 + 2 + 7 + 534 + 94 + 0 + 16 = 666.

It is a super-2 number, since 2×106332753494016² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4623163195381 + ... + 4623163195403.

Almost surely, 2^{106332753494016} is an apocalyptic number.

106332753494016 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 106332753494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190206918836352).

106332753494016 is an abundant number, since it is smaller than the sum of its proper divisors (274081084178688).

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

106332753494016 is an frugal number, since it uses more digits than its factorization.

106332753494016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 106332753494016 in words is "one hundred six trillion, three hundred thirty-two billion, seven hundred fifty-three million, four hundred ninety-four thousand, sixteen".