10107011088 has 320 divisors, whose sum is σ = 32671123200. Its totient is φ = 2972712960.

The previous prime is 10107011081. The next prime is 10107011113. The reversal of 10107011088 is 88011070101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10107011081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15767248 + ... + 15767888.

It is an arithmetic number, because the mean of its divisors is an integer number (102097260).

Almost surely, 2^10107011088 is an apocalyptic number.

10107011088 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 10107011088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16335561600).

10107011088 is an abundant number, since it is smaller than the sum of its proper divisors (22564112112).

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

10107011088 is a wasteful number, since it uses less digits than its factorization.

10107011088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 27.

Adding to 10107011088 its reverse (88011070101), we get a palindrome (98118081189).

The spelling of 10107011088 in words is "ten billion, one hundred seven million, eleven thousand, eighty-eight".