103019970528 has 336 divisors, whose sum is σ = 327961645200. Its totient is φ = 31733544960.

The previous prime is 103019970479. The next prime is 103019970553. The reversal of 103019970528 is 825079910301.

103019970528 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 9 + 97 + 0 + 528 = 666.

It is a super-2 number, since 2×103019970528² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18169678 + ... + 18175346.

It is an arithmetic number, because the mean of its divisors is an integer number (976076325).

Almost surely, 2^103019970528 is an apocalyptic number.

103019970528 is a gapful number since it is divisible by the number (18) 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 103019970528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163980822600).

103019970528 is an abundant number, since it is smaller than the sum of its proper divisors (224941674672).

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

103019970528 is an equidigital number, since it uses as much as digits as its factorization.

103019970528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 103019970528 in words is "one hundred three billion, nineteen million, nine hundred seventy thousand, five hundred twenty-eight".