103102250760 has 256 divisors, whose sum is σ = 365807923200. Its totient is φ = 25740288000.

The previous prime is 103102250753. The next prime is 103102250773. The reversal of 103102250760 is 67052201301.

It is a happy number.

It is a super-2 number, since 2×103102250760² (a number of 23 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3492060 + ... + 3521460.

It is an arithmetic number, because the mean of its divisors is an integer number (1428937200).

Almost surely, 2^103102250760 is an apocalyptic number.

103102250760 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 103102250760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182903961600).

103102250760 is an abundant number, since it is smaller than the sum of its proper divisors (262705672440).

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

103102250760 is a wasteful number, since it uses less digits than its factorization.

103102250760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29629 (or 29619 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 103102250760 in words is "one hundred three billion, one hundred two million, two hundred fifty thousand, seven hundred sixty".