105151200 has 288 divisors, whose sum is σ = 427472640. Its totient is φ = 21811200.

The previous prime is 105151181. The next prime is 105151229. The reversal of 105151200 is 2151501.

It is a super-2 number, since 2×105151200² = 22113549722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105151200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184516 + ... + 185084.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^105151200 is an apocalyptic number.

105151200 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 105151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

105151200 is an abundant number, since it is smaller than the sum of its proper divisors (322321440).

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

105151200 is a wasteful number, since it uses less digits than its factorization.

105151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 105151200 is about 10254.3259164121. The cubic root of 105151200 is about 471.9957387339.

The spelling of 105151200 in words is "one hundred five million, one hundred fifty-one thousand, two hundred".