105201402030 has 24 divisors (see below), whose sum is σ = 273523645512. Its totient is φ = 28053707184.

The previous prime is 105201402029. The next prime is 105201402091. The reversal of 105201402030 is 30204102501.

105201402030 is a `hidden beast` number, since 1 + 0 + 520 + 140 + 2 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×105201402030² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105201401994 and 105201402012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584452144 + ... + 584452323.

It is an arithmetic number, because the mean of its divisors is an integer number (11396818563).

Almost surely, 2^105201402030 is an apocalyptic number.

105201402030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105201402030 is an abundant number, since it is smaller than the sum of its proper divisors (168322243482).

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

105201402030 is a wasteful number, since it uses less digits than its factorization.

105201402030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168904480 (or 1168904477 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 105201402030 its reverse (30204102501), we get a palindrome (135405504531).

The spelling of 105201402030 in words is "one hundred five billion, two hundred one million, four hundred two thousand, thirty".