106015364 has 48 divisors (see below), whose sum is σ = 240374400. Its totient is φ = 39730176.

The previous prime is 106015361. The next prime is 106015367. The reversal of 106015364 is 463510601.

It is an interprime number because it is at equal distance from previous prime (106015361) and next prime (106015367).

It is a super-2 number, since 2×106015364² = 22478514808104992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (106015361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749 + ... + 14580.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2^106015364 is an apocalyptic number.

106015364 is a gapful number since it is divisible by the number (14) 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 106015364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120187200).

106015364 is an abundant number, since it is smaller than the sum of its proper divisors (134359036).

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

106015364 is a wasteful number, since it uses less digits than its factorization.

106015364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15372 (or 15370 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 106015364 is about 10296.3762557513. The cubic root of 106015364 is about 473.2852134291.

Adding to 106015364 its reverse (463510601), we get a palindrome (569525965).

It can be divided in two parts, 10601536 and 4, that multiplied together give a square (42406144 = 6512²).

The spelling of 106015364 in words is "one hundred six million, fifteen thousand, three hundred sixty-four".