106557360 has 480 divisors, whose sum is σ = 448846272. Its totient is φ = 20643840.

The previous prime is 106557359. The next prime is 106557371. The reversal of 106557360 is 63755601.

It is a super-3 number, since 3×106557360³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2598940 + ... + 2598980.

Almost surely, 2^106557360 is an apocalyptic number.

106557360 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 106557360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224423136).

106557360 is an abundant number, since it is smaller than the sum of its proper divisors (342288912).

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

106557360 is a wasteful number, since it uses less digits than its factorization.

106557360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

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

The square root of 106557360 is about 10322.6624472565. The cubic root of 106557360 is about 474.0903885023.

The spelling of 106557360 in words is "one hundred six million, five hundred fifty-seven thousand, three hundred sixty".