103045635000 has 1280 divisors, whose sum is σ = 466410700800. Its totient is φ = 20433600000.

The previous prime is 103045634981. The next prime is 103045635013. The reversal of 103045635000 is 536540301.

103045635000 is a `hidden beast` number, since 1 + 0 + 304 + 5 + 6 + 350 + 0 + 0 = 666.

103045635000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 239084785 + ... + 239085215.

It is an arithmetic number, because the mean of its divisors is an integer number (364383360).

Almost surely, 2^103045635000 is an apocalyptic number.

103045635000 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 103045635000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233205350400).

103045635000 is an abundant number, since it is smaller than the sum of its proper divisors (363365065800).

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

103045635000 is a wasteful number, since it uses less digits than its factorization.

103045635000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 103045635000 in words is "one hundred three billion, forty-five million, six hundred thirty-five thousand".