10153122320 has 80 divisors (see below), whose sum is σ = 25980158592. Its totient is φ = 3659335680.

The previous prime is 10153122319. The next prime is 10153122337. The reversal of 10153122320 is 2322135101.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 10153122292 and 10153122301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48389 + ... + 150491.

Almost surely, 2^10153122320 is an apocalyptic number.

10153122320 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 10153122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12990079296).

10153122320 is an abundant number, since it is smaller than the sum of its proper divisors (15827036272).

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

10153122320 is a wasteful number, since it uses less digits than its factorization.

10153122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102240 (or 102234 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10153122320 its reverse (2322135101), we get a palindrome (12475257421).

The spelling of 10153122320 in words is "ten billion, one hundred fifty-three million, one hundred twenty-two thousand, three hundred twenty".