105150400 has 42 divisors (see below), whose sum is σ = 258739640. Its totient is φ = 42059520.

The previous prime is 105150391. The next prime is 105150407. The reversal of 105150400 is 4051501.

It is a happy number.

It is a super-2 number, since 2×105150400² = 22113213240320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105150407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31260 + ... + 34459.

Almost surely, 2^105150400 is an apocalyptic number.

105150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105150400 is an abundant number, since it is smaller than the sum of its proper divisors (153589240).

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

105150400 is an equidigital number, since it uses as much as digits as its factorization.

105150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65741 (or 65726 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105150400 is about 10254.2869084106. The cubic root of 105150400 is about 471.9945417352.

The spelling of 105150400 in words is "one hundred five million, one hundred fifty thousand, four hundred".