101597328 has 120 divisors (see below), whose sum is σ = 337075648. Its totient is φ = 29020032.

The previous prime is 101597317. The next prime is 101597329. The reversal of 101597328 is 823795101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101597292 and 101597301.

It is not an unprimeable number, because it can be changed into a prime (101597329) 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, 25350 + ... + 29082.

Almost surely, 2^101597328 is an apocalyptic number.

101597328 is a gapful number since it is divisible by the number (18) 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 101597328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537824).

101597328 is an abundant number, since it is smaller than the sum of its proper divisors (235478320).

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

101597328 is an equidigital number, since it uses as much as digits as its factorization.

101597328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 101597328 is about 10079.5499899549. The cubic root of 101597328 is about 466.6172201578.

The spelling of 101597328 in words is "one hundred one million, five hundred ninety-seven thousand, three hundred twenty-eight".