100459840 has 224 divisors, whose sum is σ = 286755840. Its totient is φ = 33177600.

The previous prime is 100459829. The next prime is 100459873. The reversal of 100459840 is 48954001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2450220 + ... + 2450260.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^100459840 is an apocalyptic number.

100459840 is a gapful number since it is divisible by the number (10) 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 100459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143377920).

100459840 is an abundant number, since it is smaller than the sum of its proper divisors (186296000).

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

100459840 is a wasteful number, since it uses less digits than its factorization.

100459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 100459840 is about 10022.9656289942. The cubic root of 100459840 is about 464.8692583450.

The spelling of 100459840 in words is "one hundred million, four hundred fifty-nine thousand, eight hundred forty".