103545156624 has 320 divisors, whose sum is σ = 336276810240. Its totient is φ = 26727874560.

The previous prime is 103545156623. The next prime is 103545156697. The reversal of 103545156624 is 426651545301.

It is a super-3 number, since 3×103545156624³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (103545156623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61015744 + ... + 61017440.

It is an arithmetic number, because the mean of its divisors is an integer number (1050865032).

Almost surely, 2^103545156624 is an apocalyptic number.

103545156624 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 103545156624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168138405120).

103545156624 is an abundant number, since it is smaller than the sum of its proper divisors (232731653616).

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

103545156624 is a wasteful number, since it uses less digits than its factorization.

103545156624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 103545156624 in words is "one hundred three billion, five hundred forty-five million, one hundred fifty-six thousand, six hundred twenty-four".