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105374370 = 2353512479
BaseRepresentation
bin1100100011111…
…10001010100010
321100021120110110
412101332022202
5203433434440
614242312150
72416444623
oct621761242
9240246413
10105374370
1154532362
122b358656
1318aa5aca
14ddcda4a
1593b7080
hex647e2a2

105374370 has 16 divisors (see below), whose sum is σ = 252898560. Its totient is φ = 28099824.

The previous prime is 105374327. The next prime is 105374377. The reversal of 105374370 is 73473501.

It is a super-2 number, since 2×1053743702 = 22207515705793800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3512479 = 105374370 / (1 + 0 + 5 + 3 + 7 + 4 + 3 + 7 + 0).

It is not an unprimeable number, because it can be changed into a prime (105374377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1756210 + ... + 1756269.

It is an arithmetic number, because the mean of its divisors is an integer number (15806160).

Almost surely, 2105374370 is an apocalyptic number.

105374370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105374370 is an abundant number, since it is smaller than the sum of its proper divisors (147524190).

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

105374370 is a wasteful number, since it uses less digits than its factorization.

105374370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512489.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 105374370 is about 10265.2018976735. The cubic root of 105374370 is about 472.3294196826.

The spelling of 105374370 in words is "one hundred five million, three hundred seventy-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 3512479 7024958 10537437 17562395 21074874 35124790 52687185 105374370