10141920 has 72 divisors (see below), whose sum is σ = 34614216. Its totient is φ = 2704128.

The previous prime is 10141913. The next prime is 10141931. The reversal of 10141920 is 2914101.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 10141893 and 10141902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2082 + ... + 4961.

It is an arithmetic number, because the mean of its divisors is an integer number (480753).

Almost surely, 2^10141920 is an apocalyptic number.

10141920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141920 is an abundant number, since it is smaller than the sum of its proper divisors (24472296).

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

10141920 is a wasteful number, since it uses less digits than its factorization.

10141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10141920 is about 3184.6381270091. The cubic root of 10141920 is about 216.4578764451.

The spelling of 10141920 in words is "ten million, one hundred forty-one thousand, nine hundred twenty".