10149697600 has 504 divisors, whose sum is σ = 31525732224. Its totient is φ = 3142656000.

The previous prime is 10149697553. The next prime is 10149697601. The reversal of 10149697600 is 679694101.

It is a happy number.

It is a super-2 number, since 2×10149697600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10149697601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 247553580 + ... + 247553620.

It is an arithmetic number, because the mean of its divisors is an integer number (62551056).

Almost surely, 2^10149697600 is an apocalyptic number.

10149697600 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 10149697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15762866112).

10149697600 is an abundant number, since it is smaller than the sum of its proper divisors (21376034624).

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

10149697600 is a wasteful number, since it uses less digits than its factorization.

10149697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 10149697600 in words is "ten billion, one hundred forty-nine million, six hundred ninety-seven thousand, six hundred".