105150000 has 120 divisors (see below), whose sum is σ = 340009488. Its totient is φ = 28000000.

The previous prime is 105149939. The next prime is 105150061. The reversal of 105150000 is 51501.

It is an interprime number because it is at equal distance from previous prime (105149939) and next prime (105150061).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105150000² = 22113045000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 149650 + ... + 150350.

Almost surely, 2^105150000 is an apocalyptic number.

105150000 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 105150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170004744).

105150000 is an abundant number, since it is smaller than the sum of its proper divisors (234859488).

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

105150000 is an frugal number, since it uses more digits than its factorization.

105150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 105150000 is about 10254.2674043542. The cubic root of 105150000 is about 471.9939432336.

The spelling of 105150000 in words is "one hundred five million, one hundred fifty thousand".