103311720 has 192 divisors, whose sum is σ = 366926400. Its totient is φ = 25850880.

The previous prime is 103311713. The next prime is 103311739. The reversal of 103311720 is 27113301.

It is a super-2 number, since 2×103311720² = 21346622978716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103311693 and 103311702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311955 + ... + 312285.

It is an arithmetic number, because the mean of its divisors is an integer number (1911075).

Almost surely, 2^103311720 is an apocalyptic number.

103311720 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 103311720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183463200).

103311720 is an abundant number, since it is smaller than the sum of its proper divisors (263614680).

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

103311720 is a wasteful number, since it uses less digits than its factorization.

103311720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 103311720 is about 10164.2373053761. The cubic root of 103311720 is about 469.2272195929.

The spelling of 103311720 in words is "one hundred three million, three hundred eleven thousand, seven hundred twenty".