106460331660400 has 60 divisors (see below), whose sum is σ = 256897691292312. Its totient is φ = 42396537329920.

The previous prime is 106460331660383. The next prime is 106460331660443. The reversal of 106460331660400 is 4066133064601.

It is a super-2 number, since 2×106460331660400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586144507 + ... + 586326106.

Almost surely, 2^{106460331660400} is an apocalyptic number.

106460331660400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106460331660400 is an abundant number, since it is smaller than the sum of its proper divisors (150437359631912).

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

106460331660400 is a wasteful number, since it uses less digits than its factorization.

106460331660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172470858 (or 1172470847 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 106460331660400 in words is "one hundred six trillion, four hundred sixty billion, three hundred thirty-one million, six hundred sixty thousand, four hundred".