105089413770 has 160 divisors (see below), whose sum is σ = 311728253760. Its totient is φ = 25189781760.

The previous prime is 105089413739. The next prime is 105089413817. The reversal of 105089413770 is 77314980501.

105089413770 is a `hidden beast` number, since 1 + 0 + 508 + 9 + 4 + 137 + 7 + 0 = 666.

It is a super-2 number, since 2×105089413770² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 726729 + ... + 859251.

It is an arithmetic number, because the mean of its divisors is an integer number (1948301586).

Almost surely, 2^105089413770 is an apocalyptic number.

105089413770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105089413770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155864126880).

105089413770 is an abundant number, since it is smaller than the sum of its proper divisors (206638839990).

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

105089413770 is a wasteful number, since it uses less digits than its factorization.

105089413770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132642 (or 132633 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 105089413770 in words is "one hundred five billion, eighty-nine million, four hundred thirteen thousand, seven hundred seventy".