103977720 has 384 divisors, whose sum is σ = 438497280. Its totient is φ = 20908800.

The previous prime is 103977703. The next prime is 103977737. The reversal of 103977720 is 27779301.

It is an interprime number because it is at equal distance from previous prime (103977703) and next prime (103977737).

It is a super-2 number, since 2×103977720² = 21622732512796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 3354105 + ... + 3354135.

It is an arithmetic number, because the mean of its divisors is an integer number (1141920).

Almost surely, 2^103977720 is an apocalyptic number.

103977720 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 103977720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219248640).

103977720 is an abundant number, since it is smaller than the sum of its proper divisors (334519560).

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

103977720 is a wasteful number, since it uses less digits than its factorization.

103977720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 103977720 is about 10196.9466018019. The cubic root of 103977720 is about 470.2333532632.

The spelling of 103977720 in words is "one hundred three million, nine hundred seventy-seven thousand, seven hundred twenty".