100847040 has 224 divisors, whose sum is σ = 375513600. Its totient is φ = 22450176.

The previous prime is 100847029. The next prime is 100847053. The reversal of 100847040 is 40748001.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100847040.

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, 288786 + ... + 289134.

It is an arithmetic number, because the mean of its divisors is an integer number (1676400).

Almost surely, 2^100847040 is an apocalyptic number.

100847040 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 100847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187756800).

100847040 is an abundant number, since it is smaller than the sum of its proper divisors (274666560).

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

100847040 is a wasteful number, since it uses less digits than its factorization.

100847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 100847040 is about 10042.2626932380. The cubic root of 100847040 is about 465.4657375534.

The spelling of 100847040 in words is "one hundred million, eight hundred forty-seven thousand, forty".