103405153400310 has 16 divisors (see below), whose sum is σ = 248172368160816. Its totient is φ = 27574707573408.

The previous prime is 103405153400279. The next prime is 103405153400321. The reversal of 103405153400310 is 13004351504301.

103405153400310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103405153400310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3446838446677 = 103405153400310 / (1 + 0 + 3 + 4 + 0 + 5 + 1 + 5 + 3 + 4 + 0 + 0 + 3 + 1 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1723419223309 + ... + 1723419223368.

It is an arithmetic number, because the mean of its divisors is an integer number (15510773010051).

Almost surely, 2^{103405153400310} is an apocalyptic number.

103405153400310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103405153400310 is an abundant number, since it is smaller than the sum of its proper divisors (144767214760506).

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

103405153400310 is a wasteful number, since it uses less digits than its factorization.

103405153400310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446838446687.

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 103405153400310 in words is "one hundred three trillion, four hundred five billion, one hundred fifty-three million, four hundred thousand, three hundred ten".