106303612829040 has 960 divisors, whose sum is σ = 409141845245952. Its totient is φ = 25436403302400.

The previous prime is 106303612829027. The next prime is 106303612829053. The reversal of 106303612829040 is 40928216303601.

106303612829040 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 0 + 3 + 612 + 8 + 29 + 0 + 4 + 0 = 666.

106303612829040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106303612829027) and next prime (106303612829053).

It is a super-2 number, since 2×106303612829040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7944363150 + ... + 7944376530.

Almost surely, 2^{106303612829040} is an apocalyptic number.

106303612829040 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 106303612829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204570922622976).

106303612829040 is an abundant number, since it is smaller than the sum of its proper divisors (302838232416912).

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

106303612829040 is a wasteful number, since it uses less digits than its factorization.

106303612829040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13900 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 106303612829040 in words is "one hundred six trillion, three hundred three billion, six hundred twelve million, eight hundred twenty-nine thousand, forty".