103877933040 has 480 divisors, whose sum is σ = 405047111040. Its totient is φ = 23368310784.

The previous prime is 103877932973. The next prime is 103877933063. The reversal of 103877933040 is 40339778301.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95038734 + ... + 95039826.

It is an arithmetic number, because the mean of its divisors is an integer number (843848148).

Almost surely, 2^103877933040 is an apocalyptic number.

103877933040 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 103877933040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202523555520).

103877933040 is an abundant number, since it is smaller than the sum of its proper divisors (301169178000).

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

103877933040 is a wasteful number, since it uses less digits than its factorization.

103877933040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 103877933040 in words is "one hundred three billion, eight hundred seventy-seven million, nine hundred thirty-three thousand, forty".