103051620 has 216 divisors, whose sum is σ = 380837184. Its totient is φ = 22090752.

The previous prime is 103051579. The next prime is 103051633. The reversal of 103051620 is 26150301.

103051620 is a `hidden beast` number, since 10 + 30 + 5 + 1 + 620 = 666.

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 = 103051593 and 103051602.

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 71 ways as a sum of consecutive naturals, for example, 363999 + ... + 364281.

Almost surely, 2^103051620 is an apocalyptic number.

103051620 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 103051620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190418592).

103051620 is an abundant number, since it is smaller than the sum of its proper divisors (277785564).

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

103051620 is a wasteful number, since it uses less digits than its factorization.

103051620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103051620 is about 10151.4343814064. The cubic root of 103051620 is about 468.8331095304.

It can be divided in two parts, 1030 and 51620, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 103051620 in words is "one hundred three million, fifty-one thousand, six hundred twenty".