10501400 has 96 divisors (see below), whose sum is σ = 30102240. Its totient is φ = 3317760.

The previous prime is 10501399. The next prime is 10501423. The reversal of 10501400 is 410501.

It is a super-2 number, since 2×10501400² = 220558803920000, which contains 22 as substring.

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, 17912 + ... + 18488.

It is an arithmetic number, because the mean of its divisors is an integer number (313565).

Almost surely, 2^10501400 is an apocalyptic number.

10501400 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 10501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051120).

10501400 is an abundant number, since it is smaller than the sum of its proper divisors (19600840).

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

10501400 is a wasteful number, since it uses less digits than its factorization.

10501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

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

The square root of 10501400 is about 3240.5863666935. The cubic root of 10501400 is about 218.9856888266.

Adding to 10501400 its reverse (410501), we get a palindrome (10911901).

It can be divided in two parts, 10501 and 400, that added together give a palindrome (10901).

The spelling of 10501400 in words is "ten million, five hundred one thousand, four hundred".