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102460100 = 22527114431
BaseRepresentation
bin1100001101101…
…10101011000100
321010210111211112
412012312223010
5202212210400
614100024152
72352616331
oct606665304
9233714745
10102460100
1152921876
122a392058
13182c54a2
14d871988
158edd835
hex61b6ac4

102460100 has 36 divisors (see below), whose sum is σ = 225485568. Its totient is φ = 40404000.

The previous prime is 102460091. The next prime is 102460117. The reversal of 102460100 is 1064201.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 116 + ... + 14315.

It is an arithmetic number, because the mean of its divisors is an integer number (6263488).

Almost surely, 2102460100 is an apocalyptic number.

102460100 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 102460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112742784).

102460100 is an abundant number, since it is smaller than the sum of its proper divisors (123025468).

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

102460100 is a wasteful number, since it uses less digits than its factorization.

102460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14516 (or 14509 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 102460100 is about 10122.2576533104. The cubic root of 102460100 is about 467.9343480605.

The spelling of 102460100 in words is "one hundred two million, four hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 14431 28862 57724 72155 144310 288620 360775 721550 1024601 1443100 2049202 4098404 5123005 10246010 20492020 25615025 51230050 102460100