106342727361400 has 96 divisors (see below), whose sum is σ = 271575477878400. Its totient is φ = 38546196796800.

The previous prime is 106342727361383. The next prime is 106342727361413. The reversal of 106342727361400 is 4163727243601.

It is a happy number.

It is a super-2 number, since 2×106342727361400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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, 608280606 + ... + 608455405.

It is an arithmetic number, because the mean of its divisors is an integer number (2828911227900).

Almost surely, 2^{106342727361400} is an apocalyptic number.

106342727361400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106342727361400 is an abundant number, since it is smaller than the sum of its proper divisors (165232750517000).

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

106342727361400 is a wasteful number, since it uses less digits than its factorization.

106342727361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216736069 (or 1216736060 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 106342727361400 in words is "one hundred six trillion, three hundred forty-two billion, seven hundred twenty-seven million, three hundred sixty-one thousand, four hundred".