100344258 has 60 divisors (see below), whose sum is σ = 261575622. Its totient is φ = 28667520.

The previous prime is 100344253. The next prime is 100344287. The reversal of 100344258 is 852443001.

It can be written as a sum of positive squares in only one way, i.e., 100340289 + 3969 = 10017^2 + 63^2 .

It is a super-2 number, since 2×100344258² = 20137940227141128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100344253) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1618 + ... + 14258.

Almost surely, 2^100344258 is an apocalyptic number.

100344258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100344258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130787811).

100344258 is an abundant number, since it is smaller than the sum of its proper divisors (161231364).

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

100344258 is a wasteful number, since it uses less digits than its factorization.

100344258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12669 (or 12653 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 100344258 is about 10017.1981112485. The cubic root of 100344258 is about 464.6909080113.

Adding to 100344258 its reverse (852443001), we get a palindrome (952787259).

The spelling of 100344258 in words is "one hundred million, three hundred forty-four thousand, two hundred fifty-eight".