103135140864 has 880 divisors, whose sum is σ = 382920139008. Its totient is φ = 27088846848.

The previous prime is 103135140791. The next prime is 103135140893. The reversal of 103135140864 is 468041531301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2398491627 + ... + 2398491669.

Almost surely, 2^103135140864 is an apocalyptic number.

103135140864 is a gapful number since it is divisible by the number (14) 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 103135140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191460069504).

103135140864 is an abundant number, since it is smaller than the sum of its proper divisors (279784998144).

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

103135140864 is an frugal number, since it uses more digits than its factorization.

103135140864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 103135140864 in words is "one hundred three billion, one hundred thirty-five million, one hundred forty thousand, eight hundred sixty-four".