106015360000 has 495 divisors, whose sum is σ = 299167639617. Its totient is φ = 37509120000.

The previous prime is 106015359959. The next prime is 106015360007. The reversal of 106015360000 is 63510601.

The square root of 106015360000 is 325600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 35199763456 + 70815596544 = 187616^2 + 266112^2 .

It is a super-2 number, since 2×106015360000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (106015360007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2865279982 + ... + 2865280018.

Almost surely, 2^106015360000 is an apocalyptic number.

106015360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106015360000 is the 325600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106015360000

106015360000 is an abundant number, since it is smaller than the sum of its proper divisors (193152279617).

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

106015360000 is an frugal number, since it uses more digits than its factorization.

106015360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 106015360000 its reverse (63510601), we get a palindrome (106078870601).

The spelling of 106015360000 in words is "one hundred six billion, fifteen million, three hundred sixty thousand".