103760276040 has 192 divisors, whose sum is σ = 363628137600. Its totient is φ = 25573708800.

The previous prime is 103760275961. The next prime is 103760276041. The reversal of 103760276040 is 40672067301.

103760276040 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 602 + 7 + 6 + 0 + 40 = 666.

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 = 103760275986 and 103760276004.

It is not an unprimeable number, because it can be changed into a prime (103760276041) 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, 95445 + ... + 465435.

It is an arithmetic number, because the mean of its divisors is an integer number (1893896550).

Almost surely, 2^103760276040 is an apocalyptic number.

103760276040 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 103760276040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181814068800).

103760276040 is an abundant number, since it is smaller than the sum of its proper divisors (259867861560).

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

103760276040 is a wasteful number, since it uses less digits than its factorization.

103760276040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370068 (or 370061 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 103760276040 in words is "one hundred three billion, seven hundred sixty million, two hundred seventy-six thousand, forty".