103578420 has 96 divisors (see below), whose sum is σ = 319245696. Its totient is φ = 25090560.

The previous prime is 103578403. The next prime is 103578437. The reversal of 103578420 is 24875301.

It is an interprime number because it is at equal distance from previous prime (103578403) and next prime (103578437).

It is a super-3 number, since 3×103578420³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79212 + ... + 80508.

It is an arithmetic number, because the mean of its divisors is an integer number (3325476).

Almost surely, 2^103578420 is an apocalyptic number.

103578420 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 103578420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159622848).

103578420 is an abundant number, since it is smaller than the sum of its proper divisors (215667276).

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

103578420 is a wasteful number, since it uses less digits than its factorization.

103578420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 103578420 is about 10177.3483776473. The cubic root of 103578420 is about 469.6306438700.

The spelling of 103578420 in words is "one hundred three million, five hundred seventy-eight thousand, four hundred twenty".