10292112 has 30 divisors (see below), whose sum is σ = 28804022. Its totient is φ = 3430656.

The previous prime is 10292101. The next prime is 10292131. The reversal of 10292112 is 21129201.

It can be written as a sum of positive squares in only one way, i.e., 9960336 + 331776 = 3156^2 + 576^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35593 + ... + 35880.

Almost surely, 2^10292112 is an apocalyptic number.

10292112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10292112 is an abundant number, since it is smaller than the sum of its proper divisors (18511910).

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

10292112 is a wasteful number, since it uses less digits than its factorization.

10292112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71487 (or 71478 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10292112 is about 3208.1321668535. The cubic root of 10292112 is about 217.5211552946.

It can be divided in two parts, 10292 and 112, that added together give a square (10404 = 102²).

The spelling of 10292112 in words is "ten million, two hundred ninety-two thousand, one hundred twelve".