10107340800 has 288 divisors, whose sum is σ = 34878392640. Its totient is φ = 2577203200.

The previous prime is 10107340783. The next prime is 10107340807. The reversal of 10107340800 is 804370101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10107340807) 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, 3531370 + ... + 3534230.

It is an arithmetic number, because the mean of its divisors is an integer number (121105530).

Almost surely, 2^10107340800 is an apocalyptic number.

10107340800 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 10107340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17439196320).

10107340800 is an abundant number, since it is smaller than the sum of its proper divisors (24771051840).

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

10107340800 is a wasteful number, since it uses less digits than its factorization.

10107340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 10107340800 in words is "ten billion, one hundred seven million, three hundred forty thousand, eight hundred".