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105294948 = 22311797689
BaseRepresentation
bin1100100011010…
…10110001100100
321100010112111220
412101222301210
5203423414243
614240500340
72415664233
oct621526144
9240115456
10105294948
1154488720
122b31a6b0
1318a78905
14ddacb1a
15939d783
hex646ac64

105294948 has 24 divisors (see below), whose sum is σ = 268023840. Its totient is φ = 31907520.

The previous prime is 105294919. The next prime is 105294971. The reversal of 105294948 is 849492501.

It is a super-2 number, since 2×1052949482 = 22174052148645408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398713 + ... + 398976.

It is an arithmetic number, because the mean of its divisors is an integer number (11167660).

Almost surely, 2105294948 is an apocalyptic number.

It is an amenable number.

105294948 is an abundant number, since it is smaller than the sum of its proper divisors (162728892).

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

105294948 is a wasteful number, since it uses less digits than its factorization.

105294948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797707 (or 797705 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 105294948 is about 10261.3326619889. The cubic root of 105294948 is about 472.2107229639.

The spelling of 105294948 in words is "one hundred five million, two hundred ninety-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 797689 1595378 2393067 3190756 4786134 8774579 9572268 17549158 26323737 35098316 52647474 105294948