103623476880 has 640 divisors, whose sum is σ = 442524819456. Its totient is φ = 19383091200.

The previous prime is 103623476839. The next prime is 103623476911. The reversal of 103623476880 is 88674326301.

It is a super-3 number, since 3×103623476880³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7218510 + ... + 7232850.

Almost surely, 2^103623476880 is an apocalyptic number.

103623476880 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 103623476880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221262409728).

103623476880 is an abundant number, since it is smaller than the sum of its proper divisors (338901342576).

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

103623476880 is a wasteful number, since it uses less digits than its factorization.

103623476880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14415 (or 14409 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

It can be divided in two parts, 103623 and 476880, that added together give a triangular number (580503 = T₁₀₇₇).

The spelling of 103623476880 in words is "one hundred three billion, six hundred twenty-three million, four hundred seventy-six thousand, eight hundred eighty".