10153080 has 256 divisors, whose sum is σ = 41472000. Its totient is φ = 2156544.

The previous prime is 10153069. The next prime is 10153093. The reversal of 10153080 is 8035101.

10153080 = 316² + 317² + ... + 395².

It is a happy number.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128481 + ... + 128559.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 2^10153080 is an apocalyptic number.

10153080 is a gapful number since it is divisible by the number (10) 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 10153080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

10153080 is an abundant number, since it is smaller than the sum of its proper divisors (31318920).

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

10153080 is a wasteful number, since it uses less digits than its factorization.

10153080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10153080 is about 3186.3898066621. The cubic root of 10153080 is about 216.5372428894.

Adding to 10153080 its reverse (8035101), we get a palindrome (18188181).

It can be divided in two parts, 1015 and 3080, that added together give a triangular number (4095 = T₉₀).

The spelling of 10153080 in words is "ten million, one hundred fifty-three thousand, eighty".