101045760 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 26370048.

The previous prime is 101045717. The next prime is 101045783. The reversal of 101045760 is 67540101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×101045760² = 20420491227955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101045760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453009 + ... + 453231.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^101045760 is an apocalyptic number.

101045760 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 101045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

101045760 is an abundant number, since it is smaller than the sum of its proper divisors (228933120).

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

101045760 is an equidigital number, since it uses as much as digits as its factorization.

101045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 101045760 is about 10052.1520084010. The cubic root of 101045760 is about 465.7712717637.

Adding to 101045760 its reverse (67540101), we get a palindrome (168585861).

The spelling of 101045760 in words is "one hundred one million, forty-five thousand, seven hundred sixty".