105553476 has 192 divisors, whose sum is σ = 340623360. Its totient is φ = 27578880.

The previous prime is 105553457. The next prime is 105553477. The reversal of 105553476 is 674355501.

105553476 is a `hidden beast` number, since 1 + 0 + 55 + 534 + 76 = 666.

It is a super-2 number, since 2×105553476² = 22283072591365152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105553476.

It is not an unprimeable number, because it can be changed into a prime (105553477) 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, 552541 + ... + 552731.

It is an arithmetic number, because the mean of its divisors is an integer number (1774080).

Almost surely, 2^105553476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105553476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170311680).

105553476 is an abundant number, since it is smaller than the sum of its proper divisors (235069884).

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

105553476 is a wasteful number, since it uses less digits than its factorization.

105553476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 105553476 is about 10273.9221332459. The cubic root of 105553476 is about 472.5968760798.

The spelling of 105553476 in words is "one hundred five million, five hundred fifty-three thousand, four hundred seventy-six".