100861440 has 160 divisors (see below), whose sum is σ = 337049856. Its totient is φ = 25681920.

The previous prime is 100861429. The next prime is 100861451. The reversal of 100861440 is 44168001.

It is an interprime number because it is at equal distance from previous prime (100861429) and next prime (100861451).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100861440.

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, 176355 + ... + 176925.

Almost surely, 2^100861440 is an apocalyptic number.

100861440 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 100861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168524928).

100861440 is an abundant number, since it is smaller than the sum of its proper divisors (236188416).

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

100861440 is an equidigital number, since it uses as much as digits as its factorization.

100861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100861440 is about 10042.9796375379. The cubic root of 100861440 is about 465.4878911953.

The spelling of 100861440 in words is "one hundred million, eight hundred sixty-one thousand, four hundred forty".