100259880 has 288 divisors, whose sum is σ = 377978400. Its totient is φ = 21202944.

The previous prime is 100259867. The next prime is 100259893. The reversal of 100259880 is 88952001.

It is a happy number.

100259880 is a nontrivial binomial coefficient, being equal to C(14161, 2).

It is an interprime number because it is at equal distance from previous prime (100259867) and next prime (100259893).

It is a super-2 number, since 2×100259880² = 20104087075228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1699291 + ... + 1699349.

It is an arithmetic number, because the mean of its divisors is an integer number (1312425).

Almost surely, 2^100259880 is an apocalyptic number.

100259880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100259880 is the 14160-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100259880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188989200).

100259880 is an abundant number, since it is smaller than the sum of its proper divisors (277718520).

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

100259880 is a wasteful number, since it uses less digits than its factorization.

100259880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 100259880 is about 10012.9855687502. The cubic root of 100259880 is about 464.5606209188.

The spelling of 100259880 in words is "one hundred million, two hundred fifty-nine thousand, eight hundred eighty".