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105252000 = 2535372179
BaseRepresentation
bin1100100011000…
…00010010100000
321100001100121020
412101200102200
5203421031000
614235525440
72415425100
oct621402240
9240040536
10105252000
1154459427
122b2b9880
1318a621b9
14dd9b200
159390ba0
hex64604a0

105252000 has 288 divisors, whose sum is σ = 403341120. Its totient is φ = 23923200.

The previous prime is 105251987. The next prime is 105252053. The reversal of 105252000 is 252501.

It is a super-2 number, since 2×1052520002 = 22155967008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587911 + ... + 588089.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2105252000 is an apocalyptic number.

105252000 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 105252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

105252000 is an abundant number, since it is smaller than the sum of its proper divisors (298089120).

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

105252000 is a wasteful number, since it uses less digits than its factorization.

105252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 105252000 is about 10259.2397379143. The cubic root of 105252000 is about 472.1465120196.

The spelling of 105252000 in words is "one hundred five million, two hundred fifty-two thousand".