100661120 has 64 divisors (see below), whose sum is σ = 275032800. Its totient is φ = 34510848.

The previous prime is 100661111. The next prime is 100661129. The reversal of 100661120 is 21166001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100661111) and next prime (100661129).

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

It is a super-2 number, since 2×100661120² = 20265322159308800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100661129) 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, 6755 + ... + 15714.

Almost surely, 2^100661120 is an apocalyptic number.

100661120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100661120 is an abundant number, since it is smaller than the sum of its proper divisors (174371680).

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

100661120 is an equidigital number, since it uses as much as digits as its factorization.

100661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22495 (or 22483 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 100661120 is about 10033.0015449017. The cubic root of 100661120 is about 465.1795198474.

It can be divided in two parts, 1006 and 61120, that added together give a palindrome (62126).

The spelling of 100661120 in words is "one hundred million, six hundred sixty-one thousand, one hundred twenty".