103401425952 has 288 divisors, whose sum is σ = 326859152256. Its totient is φ = 30744268800.

The previous prime is 103401425929. The next prime is 103401425987. The reversal of 103401425952 is 259524104301.

103401425952 is a `hidden beast` number, since 1 + 0 + 340 + 14 + 259 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52407238 + ... + 52409210.

It is an arithmetic number, because the mean of its divisors is an integer number (1134927612).

Almost surely, 2^103401425952 is an apocalyptic number.

103401425952 is a gapful number since it is divisible by the number (12) 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 103401425952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163429576128).

103401425952 is an abundant number, since it is smaller than the sum of its proper divisors (223457726304).

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

103401425952 is a wasteful number, since it uses less digits than its factorization.

103401425952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 103401425952 in words is "one hundred three billion, four hundred one million, four hundred twenty-five thousand, nine hundred fifty-two".