10100906754720 has 192 divisors, whose sum is σ = 32273821440000. Its totient is φ = 2654993331200.

The previous prime is 10100906754689. The next prime is 10100906754733. The reversal of 10100906754720 is 2745760900101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149611531 + ... + 149679029.

It is an arithmetic number, because the mean of its divisors is an integer number (168092820000).

Almost surely, 2^{10100906754720} is an apocalyptic number.

10100906754720 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 10100906754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136910720000).

10100906754720 is an abundant number, since it is smaller than the sum of its proper divisors (22172914685280).

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

10100906754720 is a wasteful number, since it uses less digits than its factorization.

10100906754720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71979 (or 71971 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 10100906754720 in words is "ten trillion, one hundred billion, nine hundred six million, seven hundred fifty-four thousand, seven hundred twenty".