10378152 has 64 divisors (see below), whose sum is σ = 30096000. Its totient is φ = 3307392.

The previous prime is 10378139. The next prime is 10378163. The reversal of 10378152 is 25187301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3924 + ... + 6012.

It is an arithmetic number, because the mean of its divisors is an integer number (470250).

Almost surely, 2^10378152 is an apocalyptic number.

10378152 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 10378152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048000).

10378152 is an abundant number, since it is smaller than the sum of its proper divisors (19717848).

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

10378152 is a wasteful number, since it uses less digits than its factorization.

10378152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10378152 is about 3221.5139298162. The cubic root of 10378152 is about 218.1256184798.

The spelling of 10378152 in words is "ten million, three hundred seventy-eight thousand, one hundred fifty-two".