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106948340 = 22519431653
BaseRepresentation
bin1100101111111…
…10011011110100
321110020112112122
412113332123310
5204334321330
614340135112
72436021512
oct627763364
9243215478
10106948340
1155407964
122b997498
1319207355
14102bd4b2
1595c85e5
hex65fe6f4

106948340 has 48 divisors (see below), whose sum is σ = 237323520. Its totient is φ = 40371840.

The previous prime is 106948337. The next prime is 106948379. The reversal of 106948340 is 43849601.

It is a super-2 number, since 2×1069483402 = 22875894857511200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106948340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163454 + ... + 164106.

It is an arithmetic number, because the mean of its divisors is an integer number (4944240).

Almost surely, 2106948340 is an apocalyptic number.

106948340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106948340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118661760).

106948340 is an abundant number, since it is smaller than the sum of its proper divisors (130375180).

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

106948340 is a wasteful number, since it uses less digits than its factorization.

106948340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 106948340 is about 10341.5830509647. The cubic root of 106948340 is about 474.6695245150.

The spelling of 106948340 in words is "one hundred six million, nine hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 431 653 862 1306 1724 2155 2612 3265 4310 6530 8189 8620 12407 13060 16378 24814 32756 40945 49628 62035 81890 124070 163780 248140 281443 562886 1125772 1407215 2814430 5347417 5628860 10694834 21389668 26737085 53474170 106948340