103074474240 has 1152 divisors, whose sum is σ = 406890086400. Its totient is φ = 24622202880.

The previous prime is 103074474199. The next prime is 103074474259. The reversal of 103074474240 is 42474470301.

It is a happy number.

103074474240 is a `hidden beast` number, since 1 + 0 + 307 + 44 + 74 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 103074474195 and 103074474204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1158140116 + ... + 1158140204.

It is an arithmetic number, because the mean of its divisors is an integer number (353203200).

Almost surely, 2^103074474240 is an apocalyptic number.

103074474240 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 103074474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203445043200).

103074474240 is an abundant number, since it is smaller than the sum of its proper divisors (303815612160).

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

103074474240 is a wasteful number, since it uses less digits than its factorization.

103074474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 103074474240 in words is "one hundred three billion, seventy-four million, four hundred seventy-four thousand, two hundred forty".