103573478400 has 1056 divisors, whose sum is σ = 414832115712. Its totient is φ = 22295347200.

The previous prime is 103573478387. The next prime is 103573478467. The reversal of 103573478400 is 4874375301.

It is a super-3 number, since 3×103573478400³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 815539137 + ... + 815539263.

Almost surely, 2^103573478400 is an apocalyptic number.

103573478400 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 103573478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207416057856).

103573478400 is an abundant number, since it is smaller than the sum of its proper divisors (311258637312).

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

103573478400 is a wasteful number, since it uses less digits than its factorization.

103573478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 103573478400 in words is "one hundred three billion, five hundred seventy-three million, four hundred seventy-eight thousand, four hundred".