106453114416 has 120 divisors (see below), whose sum is σ = 327343423680. Its totient is φ = 32026377600.

The previous prime is 106453114409. The next prime is 106453114429. The reversal of 106453114416 is 614411354601.

106453114416 is a `hidden beast` number, since 1 + 0 + 645 + 3 + 1 + 1 + 4 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×106453114416² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21570 + ... + 461921.

It is an arithmetic number, because the mean of its divisors is an integer number (2727861864).

Almost surely, 2^106453114416 is an apocalyptic number.

106453114416 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 106453114416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163671711840).

106453114416 is an abundant number, since it is smaller than the sum of its proper divisors (220890309264).

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

106453114416 is a wasteful number, since it uses less digits than its factorization.

106453114416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483655 (or 483646 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 106453114416 in words is "one hundred six billion, four hundred fifty-three million, one hundred fourteen thousand, four hundred sixteen".