10405152 has 48 divisors (see below), whose sum is σ = 30350880. Its totient is φ = 3468096.

The previous prime is 10405133. The next prime is 10405193. The reversal of 10405152 is 25150401.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5158 + ... + 6885.

It is an arithmetic number, because the mean of its divisors is an integer number (632310).

Almost surely, 2^10405152 is an apocalyptic number.

10405152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10405152 is an abundant number, since it is smaller than the sum of its proper divisors (19945728).

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

10405152 is a wasteful number, since it uses less digits than its factorization.

10405152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12062 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10405152 is about 3225.7017841084. The cubic root of 10405152 is about 218.3146146116.

Adding to 10405152 its reverse (25150401), we get a palindrome (35555553).

The spelling of 10405152 in words is "ten million, four hundred five thousand, one hundred fifty-two".