106010050100 has 36 divisors (see below), whose sum is σ = 243573683724. Its totient is φ = 39909665280.

The previous prime is 106010050067. The next prime is 106010050123. The reversal of 106010050100 is 1050010601.

It can be written as a sum of positive squares in 6 ways, for example, as 3248772004 + 102761278096 = 56998^2 + 320564^2 .

It is a super-2 number, since 2×106010050100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 31177727 + ... + 31181126.

It is an arithmetic number, because the mean of its divisors is an integer number (6765935659).

Almost surely, 2^106010050100 is an apocalyptic number.

106010050100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010050100 is an abundant number, since it is smaller than the sum of its proper divisors (137563633624).

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

106010050100 is a wasteful number, since it uses less digits than its factorization.

106010050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62358884 (or 62358877 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 106010050100 its reverse (1050010601), we get a palindrome (107060060701).

The spelling of 106010050100 in words is "one hundred six billion, ten million, fifty thousand, one hundred".