100228247437344 has 96 divisors (see below), whose sum is σ = 287328215551104. Its totient is φ = 30405102120960.

The previous prime is 100228247437337. The next prime is 100228247437399. The reversal of 100228247437344 is 443734742822001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100228247437344² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565482489 + ... + 565659704.

It is an arithmetic number, because the mean of its divisors is an integer number (2993002245324).

Almost surely, 2^{100228247437344} is an apocalyptic number.

It is an amenable number.

100228247437344 is an abundant number, since it is smaller than the sum of its proper divisors (187099968113760).

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

100228247437344 is a wasteful number, since it uses less digits than its factorization.

100228247437344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131142290 (or 1131142282 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 51.

The spelling of 100228247437344 in words is "one hundred trillion, two hundred twenty-eight billion, two hundred forty-seven million, four hundred thirty-seven thousand, three hundred forty-four".