100359144 has 48 divisors (see below), whose sum is σ = 278443620. Its totient is φ = 32636160.

The previous prime is 100359137. The next prime is 100359173. The reversal of 100359144 is 441953001.

It can be written as a sum of positive squares in 2 ways, for example, as 95296644 + 5062500 = 9762^2 + 2250^2 .

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, 14047 + ... + 19950.

Almost surely, 2^100359144 is an apocalyptic number.

It is an amenable number.

100359144 is an abundant number, since it is smaller than the sum of its proper divisors (178084476).

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

100359144 is a wasteful number, since it uses less digits than its factorization.

100359144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34050 (or 34043 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 100359144 is about 10017.9411058361. The cubic root of 100359144 is about 464.7138857314.

The spelling of 100359144 in words is "one hundred million, three hundred fifty-nine thousand, one hundred forty-four".