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106244380 = 225113311459
BaseRepresentation
bin1100101010100…
…10100100011100
321101220202220001
412111102210130
5204144310010
614313104044
72430030244
oct625224434
9241822801
10106244380
1154a76a80
122b6b8024
131901bac8
1410178b24
1594d9c3a
hex655291c

106244380 has 48 divisors (see below), whose sum is σ = 244298880. Its totient is φ = 38491200.

The previous prime is 106244363. The next prime is 106244381. The reversal of 106244380 is 83442601.

It is a super-2 number, since 2×1062443802 = 22575736563168800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106244381) 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, 72091 + ... + 73549.

It is an arithmetic number, because the mean of its divisors is an integer number (5089560).

Almost surely, 2106244380 is an apocalyptic number.

106244380 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 106244380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122149440).

106244380 is an abundant number, since it is smaller than the sum of its proper divisors (138054500).

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

106244380 is a wasteful number, since it uses less digits than its factorization.

106244380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 106244380 is about 10307.4914503966. The cubic root of 106244380 is about 473.6257676261.

Adding to 106244380 its reverse (83442601), we get a palindrome (189686981).

The spelling of 106244380 in words is "one hundred six million, two hundred forty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1459 1655 2918 3310 3641 5836 6620 7282 7295 14564 14590 16049 18205 29180 32098 36410 64196 72820 80245 160490 320980 482929 965858 1931716 2414645 4829290 5312219 9658580 10624438 21248876 26561095 53122190 106244380