100061056 has 64 divisors (see below), whose sum is σ = 208373760. Its totient is φ = 47808000.

The previous prime is 100061051. The next prime is 100061057. The reversal of 100061056 is 650160001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100061051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599085 + ... + 599251.

It is an arithmetic number, because the mean of its divisors is an integer number (3255840).

Almost surely, 2^100061056 is an apocalyptic number.

100061056 is a gapful number since it is divisible by the number (16) 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 100061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880).

100061056 is an abundant number, since it is smaller than the sum of its proper divisors (108312704).

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

100061056 is a wasteful number, since it uses less digits than its factorization.

100061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 100061056 is about 10003.0523341628. The cubic root of 100061056 is about 464.2533297581.

The spelling of 100061056 in words is "one hundred million, sixty-one thousand, fifty-six".