103402961280 has 384 divisors, whose sum is σ = 376660908000. Its totient is φ = 26066976768.

The previous prime is 103402961279. The next prime is 103402961287. The reversal of 103402961280 is 82169204301.

103402961280 is a `hidden beast` number, since 1 + 0 + 34 + 0 + 2 + 9 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103402961287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80218876 + ... + 80220164.

Almost surely, 2^103402961280 is an apocalyptic number.

103402961280 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 103402961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188330454000).

103402961280 is an abundant number, since it is smaller than the sum of its proper divisors (273257946720).

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

103402961280 is a wasteful number, since it uses less digits than its factorization.

103402961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 103402961280 in words is "one hundred three billion, four hundred two million, nine hundred sixty-one thousand, two hundred eighty".