10151200 has 36 divisors (see below), whose sum is σ = 24783570. Its totient is φ = 4060160.

The previous prime is 10151191. The next prime is 10151203. The reversal of 10151200 is 215101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5363856 + 4787344 = 2316^2 + 2188^2 .

It is a super-2 number, since 2×10151200² = 206093722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10151203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5545 + ... + 7144.

Almost surely, 2^10151200 is an apocalyptic number.

10151200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10151200 is an abundant number, since it is smaller than the sum of its proper divisors (14632370).

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

10151200 is a wasteful number, since it uses less digits than its factorization.

10151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12709 (or 12696 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 10151200 is about 3186.0947882949. The cubic root of 10151200 is about 216.5238769898.

Adding to 10151200 its reverse (215101), we get a palindrome (10366301).

The spelling of 10151200 in words is "ten million, one hundred fifty-one thousand, two hundred".