10148992 has 64 divisors (see below), whose sum is σ = 23696640. Its totient is φ = 4239360.

The previous prime is 10148987. The next prime is 10148993. The reversal of 10148992 is 29984101.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10148993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41992 + ... + 42232.

It is an arithmetic number, because the mean of its divisors is an integer number (370260).

Almost surely, 2^10148992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848320).

10148992 is an abundant number, since it is smaller than the sum of its proper divisors (13547648).

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

10148992 is an equidigital number, since it uses as much as digits as its factorization.

10148992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 10148992 is about 3185.7482637522. The cubic root of 10148992 is about 216.5081770598.

The spelling of 10148992 in words is "ten million, one hundred forty-eight thousand, nine hundred ninety-two".