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106959420 = 22335198073
BaseRepresentation
bin1100110000000…
…01001000111100
321110021002202000
412120001020330
5204340200140
614340302300
72436066021
oct630011074
9243232660
10106959420
1155415217
122b9a1990
131920c3c9
14102c3548
1595cba30
hex660123c

106959420 has 48 divisors (see below), whose sum is σ = 332764320. Its totient is φ = 28522368.

The previous prime is 106959409. The next prime is 106959421. The reversal of 106959420 is 24959601.

106959420 is a `hidden beast` number, since 1 + 0 + 69 + 594 + 2 + 0 = 666.

It is a super-2 number, since 2×1069594202 = 22880635053472800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106959421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98497 + ... + 99576.

It is an arithmetic number, because the mean of its divisors is an integer number (6932590).

Almost surely, 2106959420 is an apocalyptic number.

106959420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106959420 is an abundant number, since it is smaller than the sum of its proper divisors (225804900).

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

106959420 is a wasteful number, since it uses less digits than its factorization.

106959420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198091 (or 198083 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 106959420 is about 10342.1187384404. The cubic root of 106959420 is about 474.6859160947.

The spelling of 106959420 in words is "one hundred six million, nine hundred fifty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 198073 396146 594219 792292 990365 1188438 1782657 1980730 2376876 2971095 3565314 3961460 5347971 5942190 7130628 8913285 10695942 11884380 17826570 21391884 26739855 35653140 53479710 106959420