107153515000 has 320 divisors, whose sum is σ = 301223577600. Its totient is φ = 34948800000.

The previous prime is 107153514967. The next prime is 107153515003. The reversal of 107153515000 is 515351701.

It is a super-2 number, since 2×107153515000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 107153515000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107153515003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66184191 + ... + 66185809.

It is an arithmetic number, because the mean of its divisors is an integer number (941323680).

Almost surely, 2^107153515000 is an apocalyptic number.

107153515000 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 107153515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150611788800).

107153515000 is an abundant number, since it is smaller than the sum of its proper divisors (194070062600).

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

107153515000 is a wasteful number, since it uses less digits than its factorization.

107153515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 28.

Adding to 107153515000 its reverse (515351701), we get a palindrome (107668866701).

The spelling of 107153515000 in words is "one hundred seven billion, one hundred fifty-three million, five hundred fifteen thousand".