101345580 has 192 divisors, whose sum is σ = 365890560. Its totient is φ = 23094720.

The previous prime is 101345549. The next prime is 101345581. The reversal of 101345580 is 85543101.

101345580 is a `hidden beast` number, since 101 + 3 + 4 + 558 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101345581) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 306015 + ... + 306345.

It is an arithmetic number, because the mean of its divisors is an integer number (1905680).

Almost surely, 2^101345580 is an apocalyptic number.

101345580 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 101345580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182945280).

101345580 is an abundant number, since it is smaller than the sum of its proper divisors (264544980).

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

101345580 is an equidigital number, since it uses as much as digits as its factorization.

101345580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 101345580 is about 10067.0541868016. The cubic root of 101345580 is about 466.2314911421.

Adding to 101345580 its reverse (85543101), we get a palindrome (186888681).

The spelling of 101345580 in words is "one hundred one million, three hundred forty-five thousand, five hundred eighty".