103516380 has 240 divisors, whose sum is σ = 366147936. Its totient is φ = 24261120.

The previous prime is 103516373. The next prime is 103516393. The reversal of 103516380 is 83615301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 659262 + ... + 659418.

Almost surely, 2^103516380 is an apocalyptic number.

103516380 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 103516380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183073968).

103516380 is an abundant number, since it is smaller than the sum of its proper divisors (262631556).

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

103516380 is a wasteful number, since it uses less digits than its factorization.

103516380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103516380 is about 10174.2999759197. The cubic root of 103516380 is about 469.5368608077.

The spelling of 103516380 in words is "one hundred three million, five hundred sixteen thousand, three hundred eighty".