10061400 has 96 divisors (see below), whose sum is σ = 32029200. Its totient is φ = 2611200.

The previous prime is 10061383. The next prime is 10061413. The reversal of 10061400 is 416001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24396 + ... + 24804.

Almost surely, 2^10061400 is an apocalyptic number.

10061400 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 10061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16014600).

10061400 is an abundant number, since it is smaller than the sum of its proper divisors (21967800).

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

10061400 is a wasteful number, since it uses less digits than its factorization.

10061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10061400 is about 3171.9709960843. The cubic root of 10061400 is about 215.8835105764.

Adding to 10061400 its reverse (416001), we get a palindrome (10477401).

The spelling of 10061400 in words is "ten million, sixty-one thousand, four hundred".