Search a number
-
+
102605900 = 225210110159
BaseRepresentation
bin1100001110110…
…10010001001100
321011001220211112
412013122101030
5202231342100
614103111152
72354064365
oct607322114
9234056745
10102605900
1152a11371
122a4424b8
1318346967
14d8acb6c
15901bb35
hex61da44c

102605900 has 36 divisors (see below), whose sum is σ = 224881440. Its totient is φ = 40632000.

The previous prime is 102605891. The next prime is 102605917. The reversal of 102605900 is 9506201.

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, 5021 + ... + 15179.

Almost surely, 2102605900 is an apocalyptic number.

102605900 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 102605900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112440720).

102605900 is an abundant number, since it is smaller than the sum of its proper divisors (122275540).

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

102605900 is a wasteful number, since it uses less digits than its factorization.

102605900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10274 (or 10267 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 102605900 is about 10129.4570436919. The cubic root of 102605900 is about 468.1561986227.

The spelling of 102605900 in words is "one hundred two million, six hundred five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 10159 20318 40636 50795 101590 203180 253975 507950 1015900 1026059 2052118 4104236 5130295 10260590 20521180 25651475 51302950 102605900