106451604640 has 96 divisors (see below), whose sum is σ = 256154754240. Its totient is φ = 41795702784.

The previous prime is 106451604629. The next prime is 106451604667. The reversal of 106451604640 is 46406154601.

It is a super-2 number, since 2×106451604640² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106451604640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3016216 + ... + 3051304.

It is an arithmetic number, because the mean of its divisors is an integer number (2668278690).

Almost surely, 2^106451604640 is an apocalyptic number.

106451604640 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 106451604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128077377120).

106451604640 is an abundant number, since it is smaller than the sum of its proper divisors (149703149600).

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

106451604640 is a wasteful number, since it uses less digits than its factorization.

106451604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35454 (or 35446 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 106451604640 in words is "one hundred six billion, four hundred fifty-one million, six hundred four thousand, six hundred forty".