10772031400 has 96 divisors (see below), whose sum is σ = 27070689240. Its totient is φ = 3962741760.

The previous prime is 10772031367. The next prime is 10772031421. The reversal of 10772031400 is 413027701.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 672987364 + 10099044036 = 25942^2 + 100494^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712722 + ... + 727678.

Almost surely, 2^10772031400 is an apocalyptic number.

10772031400 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 10772031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13535344620).

10772031400 is an abundant number, since it is smaller than the sum of its proper divisors (16298657840).

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

10772031400 is a wasteful number, since it uses less digits than its factorization.

10772031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15263 (or 15254 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The spelling of 10772031400 in words is "ten billion, seven hundred seventy-two million, thirty-one thousand, four hundred".