10105920 has 252 divisors, whose sum is σ = 39524940. Its totient is φ = 2365440.

The previous prime is 10105919. The next prime is 10105937. The reversal of 10105920 is 2950101.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 5645376 = 2112^2 + 2376^2 .

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 = 10105893 and 10105902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348466 + ... + 348494.

It is an arithmetic number, because the mean of its divisors is an integer number (156845).

Almost surely, 2^10105920 is an apocalyptic number.

10105920 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 10105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762470).

10105920 is an abundant number, since it is smaller than the sum of its proper divisors (29419020).

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

10105920 is a wasteful number, since it uses less digits than its factorization.

10105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10105920 is about 3178.9809688012. The cubic root of 10105920 is about 216.2014581368.

It can be divided in two parts, 10105 and 920, that added together give a square (11025 = 105²).

The spelling of 10105920 in words is "ten million, one hundred five thousand, nine hundred twenty".