103401152302140 has 288 divisors, whose sum is σ = 393091720519680. Its totient is φ = 21373461273600.

The previous prime is 103401152302139. The next prime is 103401152302153. The reversal of 103401152302140 is 41203251104301.

103401152302140 is a `hidden beast` number, since 1 + 0 + 3 + 401 + 1 + 5 + 230 + 21 + 4 + 0 = 666.

It is a super-3 number, since 3×103401152302140³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16882585 + ... + 22177104.

It is an arithmetic number, because the mean of its divisors is an integer number (1364901807360).

Almost surely, 2^{103401152302140} is an apocalyptic number.

103401152302140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103401152302140 is an abundant number, since it is smaller than the sum of its proper divisors (289690568217540).

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

103401152302140 is a wasteful number, since it uses less digits than its factorization.

103401152302140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39059913 (or 39059908 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 103401152302140 in words is "one hundred three trillion, four hundred one billion, one hundred fifty-two million, three hundred two thousand, one hundred forty".