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106299800 = 23523111709
BaseRepresentation
bin1100101011000…
…00000110011000
321102000120220122
412111200012120
5204203043200
614314212412
72430350645
oct625400630
9242016818
10106299800
1155004682
122b724108
131903b0b9
1410190dcc
1594eb385
hex6560198

106299800 has 48 divisors (see below), whose sum is σ = 248086800. Its totient is φ = 42358400.

The previous prime is 106299799. The next prime is 106299829. The reversal of 106299800 is 8992601.

It is a super-2 number, since 2×1062998002 = 22599294960080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61346 + ... + 63054.

It is an arithmetic number, because the mean of its divisors is an integer number (5168475).

Almost surely, 2106299800 is an apocalyptic number.

106299800 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 106299800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124043400).

106299800 is an abundant number, since it is smaller than the sum of its proper divisors (141787000).

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

106299800 is a wasteful number, since it uses less digits than its factorization.

106299800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 106299800 is about 10310.1794358779. The cubic root of 106299800 is about 473.7081054006.

The spelling of 106299800 in words is "one hundred six million, two hundred ninety-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 311 622 1244 1555 1709 2488 3110 3418 6220 6836 7775 8545 12440 13672 15550 17090 31100 34180 42725 62200 68360 85450 170900 341800 531499 1062998 2125996 2657495 4251992 5314990 10629980 13287475 21259960 26574950 53149900 106299800