10070400 has 96 divisors (see below), whose sum is σ = 33201000. Its totient is φ = 2682880.

The previous prime is 10070393. The next prime is 10070419. The reversal of 10070400 is 407001.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 9076 + ... + 10124.

Almost surely, 2^10070400 is an apocalyptic number.

10070400 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 10070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600500).

10070400 is an abundant number, since it is smaller than the sum of its proper divisors (23130600).

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

10070400 is a wasteful number, since it uses less digits than its factorization.

10070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10070400 is about 3173.3893552478. The cubic root of 10070400 is about 215.9478612153.

Adding to 10070400 its reverse (407001), we get a palindrome (10477401).

It can be divided in two parts, 100 and 70400, that added together give a triangular number (70500 = T₃₇₅).

The spelling of 10070400 in words is "ten million, seventy thousand, four hundred".