101105136 has 240 divisors, whose sum is σ = 334264320. Its totient is φ = 28224000.

The previous prime is 101105129. The next prime is 101105143. The reversal of 101105136 is 631501101.

101105136 = T₂₁₃ + T₂₁₄ + ... + T₈₅₀.

It is an interprime number because it is at equal distance from previous prime (101105129) and next prime (101105143).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1423981 + ... + 1424051.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 2^101105136 is an apocalyptic number.

101105136 is a gapful number since it is divisible by the number (16) 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 101105136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

101105136 is an abundant number, since it is smaller than the sum of its proper divisors (233159184).

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

101105136 is a wasteful number, since it uses less digits than its factorization.

101105136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 101105136 is about 10055.1049721025. The cubic root of 101105136 is about 465.8624852886.

Adding to 101105136 its reverse (631501101), we get a palindrome (732606237).

The spelling of 101105136 in words is "one hundred one million, one hundred five thousand, one hundred thirty-six".