103252556100 has 144 divisors (see below), whose sum is σ = 302796244800. Its totient is φ = 27161548800.

The previous prime is 103252556089. The next prime is 103252556111. The reversal of 103252556100 is 1655252301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103252556089) and next prime (103252556111).

It is a super-2 number, since 2×103252556100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18946176 + ... + 18951624.

It is an arithmetic number, because the mean of its divisors is an integer number (2102751700).

Almost surely, 2^103252556100 is an apocalyptic number.

103252556100 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 103252556100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151398122400).

103252556100 is an abundant number, since it is smaller than the sum of its proper divisors (199543688700).

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

103252556100 is a wasteful number, since it uses less digits than its factorization.

103252556100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 103252556100 in words is "one hundred three billion, two hundred fifty-two million, five hundred fifty-six thousand, one hundred".