100557366 has 96 divisors (see below), whose sum is σ = 257476608. Its totient is φ = 25608960.

The previous prime is 100557361. The next prime is 100557383. The reversal of 100557366 is 663755001.

It is a super-2 number, since 2×100557366² = 20223567713715912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100557361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219810 + ... + 220266.

It is an arithmetic number, because the mean of its divisors is an integer number (2682048).

Almost surely, 2^100557366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100557366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128738304).

100557366 is an abundant number, since it is smaller than the sum of its proper divisors (156919242).

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

100557366 is a wasteful number, since it uses less digits than its factorization.

100557366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 100557366 is about 10027.8295757357. The cubic root of 100557366 is about 465.0196407475.

The spelling of 100557366 in words is "one hundred million, five hundred fifty-seven thousand, three hundred sixty-six".