10150400 has 120 divisors (see below), whose sum is σ = 27526884. Its totient is φ = 3686400.

The previous prime is 10150397. The next prime is 10150409. The reversal of 10150400 is 405101.

It can be written as a sum of positive squares in 6 ways, for example, as 215296 + 9935104 = 464^2 + 3152^2 .

It is not an unprimeable number, because it can be changed into a prime (10150409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166370 + ... + 166430.

Almost surely, 2^10150400 is an apocalyptic number.

10150400 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 10150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13763442).

10150400 is an abundant number, since it is smaller than the sum of its proper divisors (17376484).

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

10150400 is an equidigital number, since it uses as much as digits as its factorization.

10150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 10150400 is about 3185.9692402784. The cubic root of 10150400 is about 216.5181888724.

Adding to 10150400 its reverse (405101), we get a palindrome (10555501).

The spelling of 10150400 in words is "ten million, one hundred fifty thousand, four hundred".