103115191536 has 720 divisors, whose sum is σ = 373254860160. Its totient is φ = 27394536960.

The previous prime is 103115191507. The next prime is 103115191559. The reversal of 103115191536 is 635191511301.

It is a happy number.

103115191536 is a `hidden beast` number, since 1 + 0 + 3 + 115 + 1 + 9 + 1 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103115191536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220803175 + ... + 220803641.

It is an arithmetic number, because the mean of its divisors is an integer number (518409528).

Almost surely, 2^103115191536 is an apocalyptic number.

103115191536 is a gapful number since it is divisible by the number (16) 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 103115191536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186627430080).

103115191536 is an abundant number, since it is smaller than the sum of its proper divisors (270139668624).

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

103115191536 is a wasteful number, since it uses less digits than its factorization.

103115191536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 103115191536 in words is "one hundred three billion, one hundred fifteen million, one hundred ninety-one thousand, five hundred thirty-six".