100743560 has 64 divisors (see below), whose sum is σ = 237323520. Its totient is φ = 38448640.

The previous prime is 100743557. The next prime is 100743569. The reversal of 100743560 is 65347001.

100743560 = 1441² + 1442² + ... + 1487².

It is not an unprimeable number, because it can be changed into a prime (100743569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76427 + ... + 77733.

It is an arithmetic number, because the mean of its divisors is an integer number (3708180).

Almost surely, 2^100743560 is an apocalyptic number.

100743560 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 100743560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118661760).

100743560 is an abundant number, since it is smaller than the sum of its proper divisors (136579960).

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

100743560 is a wasteful number, since it uses less digits than its factorization.

100743560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 100743560 is about 10037.1091455658. The cubic root of 100743560 is about 465.3064769592.

The spelling of 100743560 in words is "one hundred million, seven hundred forty-three thousand, five hundred sixty".