101610496 has 88 divisors (see below), whose sum is σ = 232129800. Its totient is φ = 44040192.

The previous prime is 101610493. The next prime is 101610503. The reversal of 101610496 is 694016101.

It can be written as a sum of positive squares in 4 ways, for example, as 15492096 + 86118400 = 3936^2 + 9280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101610493) 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, 226080 + ... + 226528.

Almost surely, 2^101610496 is an apocalyptic number.

101610496 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 101610496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064900).

101610496 is an abundant number, since it is smaller than the sum of its proper divisors (130519304).

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

101610496 is a wasteful number, since it uses less digits than its factorization.

101610496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 101610496 is about 10080.2031725556. The cubic root of 101610496 is about 466.6373786608.

Adding to 101610496 its reverse (694016101), we get a palindrome (795626597).

The spelling of 101610496 in words is "one hundred one million, six hundred ten thousand, four hundred ninety-six".