103009695040 has 112 divisors (see below), whose sum is σ = 280463012352. Its totient is φ = 35301298176.

The previous prime is 103009695031. The next prime is 103009695073. The reversal of 103009695040 is 40596900301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×103009695040² (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 15 ways as a sum of consecutive naturals, for example, 5471884 + ... + 5490676.

Almost surely, 2^103009695040 is an apocalyptic number.

103009695040 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 103009695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140231506176).

103009695040 is an abundant number, since it is smaller than the sum of its proper divisors (177453317312).

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

103009695040 is a wasteful number, since it uses less digits than its factorization.

103009695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21264 (or 21254 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 103009695040 in words is "one hundred three billion, nine million, six hundred ninety-five thousand, forty".