100655360 has 144 divisors (see below), whose sum is σ = 271966464. Its totient is φ = 35414016.

The previous prime is 100655333. The next prime is 100655363. The reversal of 100655360 is 63556001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (100655363) 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, 382589 + ... + 382851.

It is an arithmetic number, because the mean of its divisors is an integer number (1888656).

Almost surely, 2^100655360 is an apocalyptic number.

100655360 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 100655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135983232).

100655360 is an abundant number, since it is smaller than the sum of its proper divisors (171311104).

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

100655360 is a wasteful number, since it uses less digits than its factorization.

100655360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 100655360 is about 10032.7144881134. The cubic root of 100655360 is about 465.1706468912.

The spelling of 100655360 in words is "one hundred million, six hundred fifty-five thousand, three hundred sixty".