100149504 has 144 divisors (see below), whose sum is σ = 328282752. Its totient is φ = 26394624.

The previous prime is 100149487. The next prime is 100149541. The reversal of 100149504 is 405941001.

It is a super-5 number, since 5×100149504⁵ (a number of 41 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69172 + ... + 70604.

Almost surely, 2^100149504 is an apocalyptic number.

100149504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164141376).

100149504 is an abundant number, since it is smaller than the sum of its proper divisors (228133248).

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

100149504 is a wasteful number, since it uses less digits than its factorization.

100149504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 100149504 is about 10007.4724081558. The cubic root of 100149504 is about 464.3900802157.

It can be divided in two parts, 1001 and 49504, that added together give a palindrome (50505).

The spelling of 100149504 in words is "one hundred million, one hundred forty-nine thousand, five hundred four".