100601520 has 80 divisors (see below), whose sum is σ = 320321760. Its totient is φ = 26099712.

The previous prime is 100601503. The next prime is 100601521. The reversal of 100601520 is 25106001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100601520.

It is not an unprimeable number, because it can be changed into a prime (100601521) 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, 3216 + ... + 14544.

It is an arithmetic number, because the mean of its divisors is an integer number (4004022).

Almost surely, 2^100601520 is an apocalyptic number.

100601520 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 100601520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160160880).

100601520 is an abundant number, since it is smaller than the sum of its proper divisors (219720240).

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

100601520 is a wasteful number, since it uses less digits than its factorization.

100601520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11382 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 100601520 is about 10030.0309072305. The cubic root of 100601520 is about 465.0876930230.

Adding to 100601520 its reverse (25106001), we get a palindrome (125707521).

The spelling of 100601520 in words is "one hundred million, six hundred one thousand, five hundred twenty".