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106000940 = 22543912073
BaseRepresentation
bin1100101000101…
…11001000101100
321101110101221202
412110113020230
5204114012230
614303545032
72424664433
oct624271054
9241411852
10106000940
1154920091
122b5bb178
1318c65066
141011411a
15948ca45
hex651722c

106000940 has 24 divisors (see below), whose sum is σ = 223127520. Its totient is φ = 42300288.

The previous prime is 106000927. The next prime is 106000963. The reversal of 106000940 is 49000601.

It is a super-2 number, since 2×1060009402 = 22472398561767200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2744 + ... + 14816.

It is an arithmetic number, because the mean of its divisors is an integer number (9296980).

Almost surely, 2106000940 is an apocalyptic number.

106000940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106000940 is an abundant number, since it is smaller than the sum of its proper divisors (117126580).

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

106000940 is a wasteful number, since it uses less digits than its factorization.

106000940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12521 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106000940 is about 10295.6757913213. The cubic root of 106000940 is about 473.2637480638.

The spelling of 106000940 in words is "one hundred six million, nine hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 439 878 1756 2195 4390 8780 12073 24146 48292 60365 120730 241460 5300047 10600094 21200188 26500235 53000470 106000940