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106469748 = 223372113159
BaseRepresentation
bin1100101100010…
…01100101110100
321102100020001000
412112021211310
5204224012443
614322003300
72431656300
oct626114564
9242306030
10106469748
1155110330
122b7a6530
131909a568
14101d6d00
1595318d3
hex6589974

106469748 has 288 divisors, whose sum is σ = 367718400. Its totient is φ = 26308800.

The previous prime is 106469747. The next prime is 106469809. The reversal of 106469748 is 847964601.

It is a super-2 number, since 2×1064697482 = 22671614478367008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106469747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1804543 + ... + 1804601.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2106469748 is an apocalyptic number.

106469748 is a gapful number since it is divisible by the number (18) 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 106469748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

106469748 is an abundant number, since it is smaller than the sum of its proper divisors (261248652).

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

106469748 is a wasteful number, since it uses less digits than its factorization.

106469748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 106469748 is about 10318.4179019848. The cubic root of 106469748 is about 473.9604197042.

The spelling of 106469748 in words is "one hundred six million, four hundred sixty-nine thousand, seven hundred forty-eight".