100610720 has 144 divisors (see below), whose sum is σ = 284148648. Its totient is φ = 33546240.

The previous prime is 100610711. The next prime is 100610723. The reversal of 100610720 is 27016001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20830096 + 79780624 = 4564^2 + 8932^2 .

It is not an unprimeable number, because it can be changed into a prime (100610723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321284 + ... + 321596.

Almost surely, 2^100610720 is an apocalyptic number.

100610720 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 100610720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142074324).

100610720 is an abundant number, since it is smaller than the sum of its proper divisors (183537928).

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

100610720 is a wasteful number, since it uses less digits than its factorization.

100610720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 100610720 is about 10030.4895194602. The cubic root of 100610720 is about 465.1018700001.

Adding to 100610720 its reverse (27016001), we get a palindrome (127626721).

The spelling of 100610720 in words is "one hundred million, six hundred ten thousand, seven hundred twenty".