10507212 has 48 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 3479760.

The previous prime is 10507199. The next prime is 10507213. The reversal of 10507212 is 21270501.

It is a super-2 number, since 2×10507212² = 220803008025888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10507213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29089 + ... + 29447.

It is an arithmetic number, because the mean of its divisors is an integer number (571200).

Almost surely, 2^10507212 is an apocalyptic number.

10507212 is a gapful number since it is divisible by the number (12) 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 10507212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

10507212 is an abundant number, since it is smaller than the sum of its proper divisors (16910388).

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

10507212 is a wasteful number, since it uses less digits than its factorization.

10507212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10507212 is about 3241.4829939397. The cubic root of 10507212 is about 219.0260805870.

Adding to 10507212 its reverse (21270501), we get a palindrome (31777713).

The spelling of 10507212 in words is "ten million, five hundred seven thousand, two hundred twelve".