105276990 has 128 divisors (see below), whose sum is σ = 317721600. Its totient is φ = 22184064.

The previous prime is 105276959. The next prime is 105276991. The reversal of 105276990 is 99672501.

It is a super-2 number, since 2×105276990² = 22166489246920200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105276991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133377 + ... + 134163.

It is an arithmetic number, because the mean of its divisors is an integer number (2482200).

Almost surely, 2^105276990 is an apocalyptic number.

105276990 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 105276990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158860800).

105276990 is an abundant number, since it is smaller than the sum of its proper divisors (212444610).

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

105276990 is a wasteful number, since it uses less digits than its factorization.

105276990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 105276990 is about 10260.4575921350. The cubic root of 105276990 is about 472.1838763378.

The spelling of 105276990 in words is "one hundred five million, two hundred seventy-six thousand, nine hundred ninety".