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100506012 = 22379106019
BaseRepresentation
bin1011111110110…
…01100110011100
321000010020022220
411333121212130
5201212143022
613550105340
72330200305
oct577314634
9230106286
10100506012
1151807722
12297ab250
1317a8cc19
14d4c37ac
158c5485c
hex5fd999c

100506012 has 24 divisors (see below), whose sum is σ = 237484800. Its totient is φ = 33077616.

The previous prime is 100506001. The next prime is 100506017. The reversal of 100506012 is 210605001.

It is a junction number, because it is equal to n+sod(n) for n = 100505982 and 100506000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100506017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52062 + ... + 53957.

It is an arithmetic number, because the mean of its divisors is an integer number (9895200).

Almost surely, 2100506012 is an apocalyptic number.

100506012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100506012 is an abundant number, since it is smaller than the sum of its proper divisors (136978788).

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

100506012 is a wasteful number, since it uses less digits than its factorization.

100506012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106105 (or 106103 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 100506012 is about 10025.2686747039. The cubic root of 100506012 is about 464.9404664215.

The spelling of 100506012 in words is "one hundred million, five hundred six thousand, twelve".

Divisors: 1 2 3 4 6 12 79 158 237 316 474 948 106019 212038 318057 424076 636114 1272228 8375501 16751002 25126503 33502004 50253006 100506012